🕷️ Crawler Inspector

URL Lookup

Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 185 (from laksa027)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa185.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.cuemath.com/trigonometry/sin-pi-2/\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.cuemath.com/trigonometry/sin-pi-2/\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.cuemath.com\/trigonometry\/sin-pi-2\/","crawl_time":1776433004,"first_indexed_time":1639082181,"http_code":200,"src_unparsed":"com,cuemath!www,\/trigonometry\/sin-pi-2\/ s443","src_root_hash":"6203651625873809585","history_drop_reason":null,"meta_title":"Sin pi\/2 - Find Value of Sin pi\/2 | Sin π\/2","meta_descriptions":["Sin pi\/2 degrees is the value of sine trigonometric function for an angle equal to pi\/2. Understand methods to find the value of sin pi\/2 with examples and FAQs."],"attrs_boilerpipe_text":"The value of\nsin pi\/2 is 1\n. Sin pi\/2 radians in degrees is written as sin ((π\/2) × 180°\/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi\/2 with examples.\nSin pi\/2:\n1\nSin (-pi\/2):\n-1\nSin pi\/2 in degrees:\nsin (90°)\nWhat is the Value of Sin pi\/2?\nThe value of sin pi\/2 is 1. Sin pi\/2 can also be expressed using the equivalent of the given\nangle\n(pi\/2) in degrees (90°).\nWe know, using\nradian to degree\nconversion, θ in degrees = θ in radians × (180°\/\npi\n)\n⇒ pi\/2 radians = pi\/2 × (180°\/pi) = 90° or 90\ndegrees\n∴ sin pi\/2 = sin π\/2 = sin(90°) = 1\nExplanation:\nFor sin pi\/2, the angle pi\/2 lies on the positive y-axis. Thus, sin pi\/2 value = 1\nSince the sine function is a\nperiodic function\n, we can represent sin pi\/2 as, sin pi\/2 = sin(pi\/2 + n × 2pi), n ∈ Z.\n⇒ sin pi\/2 = sin 5pi\/2 = sin 9pi\/2 , and so on.\nNote:\nSince, sine is an\nodd function\n, the value of sin(-pi\/2) = -sin(pi\/2).\nMethods to Find Value of Sin pi\/2\nThe value of sin pi\/2 is given as 1. We can find the value of sin pi\/2 by:\nUsing Trigonometric Functions\nUsing Unit Circle\nSin pi\/2 in Terms of Trigonometric Functions\nUsing\ntrigonometry\nformulas, we can represent the sin pi\/2 as:\n± √(1-cos²(pi\/2))\n± tan(pi\/2)\/√(1 + tan²(pi\/2))\n± 1\/√(1 + cot²(pi\/2))\n± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n1\/cosec(pi\/2)\nNote:\nSince pi\/2 lies on the positive y-axis, the final value of sin pi\/2 is 1.\nWe can use trigonometric identities to represent sin pi\/2 as,\nsin(pi - pi\/2) = sin pi\/2\n-sin(pi + pi\/2) = -sin 3pi\/2\ncos(pi\/2 - pi\/2) = cos 0\n-cos(pi\/2 + pi\/2) = -cos pi\nSin pi\/2 Using Unit Circle\nTo find the value of sin π\/2 using the unit circle:\nRotate ‘r’ anticlockwise to form pi\/2 angle with the positive x-axis.\nThe sin of pi\/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.\nHence the value of sin pi\/2 = y = 1\n☛ Also Check:\ntan pi\ncos 11pi\/6\ntan 11pi\/12\ncos 2pi\/8\nsin 4pi\/3\ncos 7pi\/6\nRead More\nFAQs on Sin pi\/2\nWhat is Sin pi\/2?\nSin pi\/2 is the value of sine\ntrigonometric function\nfor an angle equal to pi\/2 radians.\nThe value of sin pi\/2 is 1.\nWhat is the Value of Sin pi\/2 in Terms of Cot pi\/2?\nWe can represent the sine function in terms of the cotangent function using\ntrig identities\n, sin pi\/2 can be written as 1\/√(1 + cot²(pi\/2)). Here, the value of cot pi\/2 is equal to 0.\nHow to Find the Value of Sin pi\/2?\nThe value of sin pi\/2 can be calculated by constructing an\nangle\nof π\/2\nradians\nwith the\nx-axis\n, and then finding the coordinates of the corresponding point (0, 1) on the\nunit circle\n. The value of sin pi\/2 is equal to the y-coordinate (1). ∴ sin pi\/2 = 1.\nHow to Find Sin pi\/2 in Terms of Other Trigonometric Functions?\nUsing\ntrigonometry formula\n, the value of sin π\/2 can be given in terms of other trigonometric functions as:\n± √(1-cos²(pi\/2))\n± tan(pi\/2)\/√(1 + tan²(pi\/2))\n± 1\/√(1 + cot²(pi\/2))\n± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n1\/cosec(pi\/2)\n☛ Also check:\ntrigonometric table","attrs_markdown":"[Math Tutoring](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Elementary K-2](https:\/\/www.cuemath.com\/math-online-classes\/grade-k-2\/)\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Elementary 3-5](https:\/\/www.cuemath.com\/math-online-classes\/grade-3-5\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Middle School](https:\/\/www.cuemath.com\/math-online-classes\/grade-6-8\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[High School](https:\/\/www.cuemath.com\/math-online-classes\/high-school\/)\n\n[Algebra-1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Algebra-2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-precalculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[STAAR](https:\/\/www.cuemath.com\/test\/staar-test\/)\n\n[NJSLA](https:\/\/www.cuemath.com\/test\/njsla-test\/)\n\n[MAP](https:\/\/www.cuemath.com\/test\/map-test\/)\n\n[Math Kangaroo](https:\/\/www.cuemath.com\/test\/math-kangaroo\/)\n\n[CogAT](https:\/\/www.cuemath.com\/test\/cogat-test\/)\n\n[AASA](https:\/\/www.cuemath.com\/test\/aasa-test\/)\n\n[SBAC](https:\/\/www.cuemath.com\/test\/sbac-test\/)\n\n[AMC 8](https:\/\/www.cuemath.com\/test\/amc-8-test\/)\n\n[GMAS](https:\/\/www.cuemath.com\/test\/gmas-test\/)\n\n[IAR](https:\/\/www.cuemath.com\/test\/iar-test\/)\n\n[SSAT](https:\/\/www.cuemath.com\/test\/ssat-test\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\n[Resources]()\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[Events](https:\/\/www.cuemath.com\/events\/)\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Cuemath App](https:\/\/www.cuemath.com\/apps\/cuemath\/?utm_source=website_navbar)\n\n[About Us]()\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Story & Mission](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[Cuemath Vs Others](https:\/\/www.cuemath.com\/blog\/tag\/cuemath-vs-others\/)\n\n[What is MathFit](https:\/\/www.cuemath.com\/blog\/what-does-it-mean-to-be-mathfit\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\nDownload App\n\n[![Cuemath](data:image\/svg+xml;base64,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)](https:\/\/www.cuemath.com\/)\n\n![](data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAwCAYAAABXAvmHAAAACXBIWXMAABYlAAAWJQFJUiTwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAABySURBVHgB7dexEUBAGEThRUoBKlCHXDdaEWmDahQglGjAys3dJe6S9828bANmLvklAAAAoJQqYTO52XXK63Sr20OjlB\/YXK8ybjeGBrXiWpVzxwaN4i43KP8Tej9+cYcAAADwiXvgZ9wDL+4BAAAA4NMD0MwTE6FRFLUAAAAASUVORK5CYII=)\n\n[Math Tutoring](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Elementary K-2](https:\/\/www.cuemath.com\/math-online-classes\/grade-k-2\/)\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Elementary 3-5](https:\/\/www.cuemath.com\/math-online-classes\/grade-3-5\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Middle School](https:\/\/www.cuemath.com\/math-online-classes\/grade-6-8\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[High School](https:\/\/www.cuemath.com\/math-online-classes\/high-school\/)\n\n[Algebra-1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Algebra-2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-precalculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[STAAR](https:\/\/www.cuemath.com\/test\/staar-test\/)\n\n[NJSLA](https:\/\/www.cuemath.com\/test\/njsla-test\/)\n\n[MAP](https:\/\/www.cuemath.com\/test\/map-test\/)\n\n[Math Kangaroo](https:\/\/www.cuemath.com\/test\/math-kangaroo\/)\n\n[CogAT](https:\/\/www.cuemath.com\/test\/cogat-test\/)\n\n[AASA](https:\/\/www.cuemath.com\/test\/aasa-test\/)\n\n[SBAC](https:\/\/www.cuemath.com\/test\/sbac-test\/)\n\n[AMC 8](https:\/\/www.cuemath.com\/test\/amc-8-test\/)\n\n[GMAS](https:\/\/www.cuemath.com\/test\/gmas-test\/)\n\n[IAR](https:\/\/www.cuemath.com\/test\/iar-test\/)\n\n[SSAT](https:\/\/www.cuemath.com\/test\/ssat-test\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\nResources\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[Events](https:\/\/www.cuemath.com\/events\/)\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Cuemath App](https:\/\/www.cuemath.com\/apps\/cuemath\/?utm_source=website_navbar)\n\nAbout Us\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Story & Mission](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[Cuemath Vs Others](https:\/\/www.cuemath.com\/blog\/tag\/cuemath-vs-others\/)\n\n[What is MathFit](https:\/\/www.cuemath.com\/blog\/what-does-it-mean-to-be-mathfit\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\n![Download the Cuemath App](https:\/\/static.qumath.in\/static\/next\/_next\/static\/images\/app_banner_desktop-8753ba6fb9ffbf8a558f26e1450c864e.webp)\n\n![Download the Cuemath App](https:\/\/static.qumath.in\/static\/next\/_next\/static\/images\/app_banner_mobile-3f26e4236459d2a093f12eabcd31dc32.webp)\n\n![Download the Cuemath App](https:\/\/static.qumath.in\/static\/next\/_next\/static\/images\/app_banner_desktop-8753ba6fb9ffbf8a558f26e1450c864e.webp)\n\n![Download the Cuemath App](https:\/\/static.qumath.in\/static\/next\/_next\/static\/images\/app_banner_mobile-3f26e4236459d2a093f12eabcd31dc32.webp)\n\n[Learn]()[Practice]()[Download]()\n\n# Sin pi\/2\nThe value of **sin pi\/2 is 1**. Sin pi\/2 radians in degrees is written as sin ((π\/2) × 180°\/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi\/2 with examples.\n\n- **Sin pi\/2:** 1\n- **Sin (-pi\/2):** -1\n- **Sin pi\/2 in degrees:**  sin (90°)\n## What is the Value of Sin pi\/2?\nThe value of sin pi\/2 is 1. Sin pi\/2 can also be expressed using the equivalent of the given [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) (pi\/2) in degrees (90°).\n\nWe know, using [radian to degree](https:\/\/www.cuemath.com\/geometry\/radians-to-degrees\/) conversion, θ in degrees = θ in radians × (180°\/[pi](https:\/\/www.cuemath.com\/geometry\/what-is-pi\/))  \n ⇒ pi\/2 radians = pi\/2 × (180°\/pi) = 90° or 90 [degrees](https:\/\/www.cuemath.com\/geometry\/degrees\/)  \n ∴ sin pi\/2 = sin π\/2 = sin(90°) = 1\n\n![Sin pi\/2](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/sin-pi-2.png)\n\n**Explanation:**\n\nFor sin pi\/2, the angle pi\/2 lies on the positive y-axis. Thus, sin pi\/2 value = 1  \n Since the sine function is a [periodic function](https:\/\/www.cuemath.com\/algebra\/periodic-function\/), we can represent sin pi\/2 as, sin pi\/2 = sin(pi\/2 + n × 2pi), n ∈ Z.  \n ⇒ sin pi\/2 = sin 5pi\/2 = sin 9pi\/2 , and so on.  \n **Note:** Since, sine is an [odd function](https:\/\/www.cuemath.com\/calculus\/odd-functions\/), the value of sin(-pi\/2) = -sin(pi\/2).\n\n## Methods to Find Value of Sin pi\/2\nThe value of sin pi\/2 is given as 1. We can find the value of sin pi\/2 by:\n\n- Using Trigonometric Functions\n- Using Unit Circle\n## Sin pi\/2 in Terms of Trigonometric Functions\nUsing [trigonometry](https:\/\/www.cuemath.com\/trigonometry\/) formulas, we can represent the sin pi\/2 as:\n\n- ± √(1-cos²(pi\/2))\n- ± tan(pi\/2)\/√(1 + tan²(pi\/2))\n- ± 1\/√(1 + cot²(pi\/2))\n- ± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n- 1\/cosec(pi\/2)\n\n**Note:** Since pi\/2 lies on the positive y-axis, the final value of sin pi\/2 is 1.\n\nWe can use trigonometric identities to represent sin pi\/2 as,\n\n- sin(pi - pi\/2) = sin pi\/2\n- \\-sin(pi + pi\/2) = -sin 3pi\/2\n- cos(pi\/2 - pi\/2) = cos 0\n- \\-cos(pi\/2 + pi\/2) = -cos pi\n## Sin pi\/2 Using Unit Circle\n![value of sin pi\/2](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/value-of-sin-pi-2.png)\n\nTo find the value of sin π\/2 using the unit circle:\n\n- Rotate ‘r’ anticlockwise to form pi\/2 angle with the positive x-axis.\n- The sin of pi\/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.\n\nHence the value of sin pi\/2 = y = 1\n\n**☛ Also Check:**\n\n- [tan pi](https:\/\/www.cuemath.com\/trigonometry\/tan-pi\/)\n- [cos 11pi\/6](https:\/\/www.cuemath.com\/trigonometry\/cos-11pi-6\/)\n- [tan 11pi\/12](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-12\/)\n- [cos 2pi\/8](https:\/\/www.cuemath.com\/trigonometry\/cos-2pi-8\/)\n- [sin 4pi\/3](https:\/\/www.cuemath.com\/trigonometry\/sin-4pi-3\/)\n- [cos 7pi\/6](https:\/\/www.cuemath.com\/trigonometry\/cos-7pi-6\/)\n\nRead More\n\n## Examples Using Sin pi\/2\n1. **Example 1: Find the value of sin(pi\/2) if cosec(pi\/2) is 1.**\n   \n   **Solution:**\n   \n   Since, sin pi\/2 = 1\/csc(pi\/2)  \n    ⇒ sin pi\/2 = 1\/1 = 1\n2. **Example 2: Find the value of 5 sin(pi\/2)\/7 cos(0).**\n   \n   **Solution:**\n   \n   Using trigonometric identities, we know, sin(pi\/2) = cos(pi\/2 - pi\/2) = cos(0).  \n    ⇒ sin(pi\/2) = cos(0)  \n    ⇒ Value of 5 sin(pi\/2)\/7 cos(0) = 5\/7\n3. **Example 3: Using the value of sin pi\/2, solve: (1-cos²(pi\/2)).**\n   \n   **Solution:**\n   \n   We know, (1-cos²(pi\/2)) = (sin²(pi\/2)) = 1  \n    ⇒ (1-cos²(pi\/2)) = 1\n\nShow Solution \\>\n\n![](https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/topics-marketing-image-1612964508.png)\n\nReady to see the world through math’s eyes?\n\nMath is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.\n\n[Book a Free Trial Class](https:\/\/www.cuemath.com\/parent\/signup\/)\n\n## FAQs on Sin pi\/2\n### What is Sin pi\/2?\nSin pi\/2 is the value of sine [trigonometric function](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-functions\/) for an angle equal to pi\/2 radians.  ***The value of sin pi\/2 is 1.***\n\n### What is the Value of Sin pi\/2 in Terms of Cot pi\/2?\nWe can represent the sine function in terms of the cotangent function using [trig identities](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-identities\/), sin pi\/2 can be written as 1\/√(1 + cot²(pi\/2)). Here, the value of cot pi\/2 is equal to 0.\n\n### How to Find the Value of Sin pi\/2?\nThe value of sin pi\/2 can be calculated by constructing an [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) of π\/2 [radians](https:\/\/www.cuemath.com\/trigonometry\/what-is-a-radian\/) with the [x-axis](https:\/\/www.cuemath.com\/geometry\/x-and-y-axis\/), and then finding the coordinates of the corresponding point (0, 1) on the [unit circle](https:\/\/www.cuemath.com\/geometry\/unit-circle\/). The value of sin pi\/2 is equal to the y-coordinate (1). ∴ sin pi\/2 = 1.\n\n### What is the Value of Sin pi\/2 in Terms of Cosec pi\/2?\nSince the [cosecant function](https:\/\/www.cuemath.com\/trigonometry\/cosecant-functions\/) is the reciprocal of the [sine function](https:\/\/www.cuemath.com\/trigonometry\/sine-function\/), we can write sin pi\/2 as 1\/cosec(pi\/2). The value of cosec pi\/2 is equal to 1.\n\n### How to Find Sin pi\/2 in Terms of Other Trigonometric Functions?\nUsing [trigonometry formula](https:\/\/www.cuemath.com\/trigonometry\/trigonometry-formula\/), the value of sin π\/2 can be given in terms of other trigonometric functions as:\n\n- ± √(1-cos²(pi\/2))\n- ± tan(pi\/2)\/√(1 + tan²(pi\/2))\n- ± 1\/√(1 + cot²(pi\/2))\n- ± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n- 1\/cosec(pi\/2)\n\n☛ Also check: [trigonometric table](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-table\/)\n\nExplore  \n math program\n\nDownload FREE Study Materials\n\n![](data:image\/svg+xml;base64,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)\n\nTrigonometry\n\n![](https:\/\/d138zd1ktt9iqe.cloudfront.net\/media\/seo_landing_files\/thumbnails\/tan-720-degrees-w1-first-page-1633776703.jpg)\n\nTrigonometry Worksheet\n\n![](data:image\/svg+xml;base64,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)\n\nExplore  \n math program\n\nMath worksheets and  \n visual curriculum\n\nDownload App\n\nBecome MathFit™:\n\nBoost math skills with daily fun challenges and puzzles.\n\nDownload the app\n\nSTRATEGY GAMES\n\nLOGIC PUZZLES\n\nMENTAL MATH\n\nBecome MathFit™:\n\nBoost math skills with daily fun challenges and puzzles.\n\nDownload the app\n\nSTRATEGY GAMES\n\nLOGIC PUZZLES\n\nMENTAL MATH\n\nUS Office\n\nCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805\n\nIndia Office\n\nPlot No. F-17\/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009\n\nUS Office\n\nCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805\n\nIndia Office\n\nPlot No. F-17\/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009\n\n![Cuemath Logo](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/cuemath-logo.svg)\n\n[Terms & conditions](https:\/\/www.cuemath.com\/terms)\n\n[Privacy Policy](https:\/\/www.cuemath.com\/privacy)\n\n[![Facebook](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook-grey.svg)![Facebook hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook.svg)](https:\/\/www.facebook.com\/cuemath\/)[![Youtube](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube-grey.svg)![Youtube hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube.svg)](https:\/\/www.youtube.com\/channel\/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram-grey.svg)![Instagram hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram.svg)](https:\/\/www.instagram.com\/cuemath\/)[![Twitter](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)![Twitter hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)](https:\/\/x.com\/cuemath)[![LinkedIn](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin-grey.svg)![LinkedIn hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin.svg)](https:\/\/www.linkedin.com\/company\/cue-learn\/)\n\n[![Facebook](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook-grey.svg)![Facebook hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook.svg)](https:\/\/www.facebook.com\/cuemath\/)[![Youtube](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube-grey.svg)![Youtube hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube.svg)](https:\/\/www.youtube.com\/channel\/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram-grey.svg)![Instagram hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram.svg)](https:\/\/www.instagram.com\/cuemath\/)[![Twitter](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)![Twitter hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)](https:\/\/x.com\/cuemath)[![LinkedIn](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin-grey.svg)![LinkedIn hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin.svg)](https:\/\/www.linkedin.com\/company\/cue-learn\/)\n\n![Cuemath Logo](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/cuemath-logo.svg)\n\n[Terms & conditions](https:\/\/www.cuemath.com\/terms)\n\n[Privacy Policy](https:\/\/www.cuemath.com\/privacy)\n\nABOUT CUEMATH\n\n[About Us](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\n[Contact Us](https:\/\/www.cuemath.com\/contact-us\/)\n\n[Refund Policy](https:\/\/www.cuemath.com\/refund-policy\/)\n\nABOUT CUEMATH\n\n\\+\n\n[About Us](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\n[Contact Us](https:\/\/www.cuemath.com\/contact-us\/)\n\n[Refund Policy](https:\/\/www.cuemath.com\/refund-policy\/)\n\nOUR PROGRAMS\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[Algebra 1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Algebra 2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Cueprep](http:\/\/cueprep.com\/)\n\nOUR PROGRAMS\n\n\\+\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[Algebra 1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Algebra 2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Cueprep](http:\/\/cueprep.com\/)\n\nRESOURCES\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Math Puzzles](https:\/\/www.cuemath.com\/math-puzzles\/)\n\n[MathFit™ 100 Puzzles](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/puzzle-booklet.pdf)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\nRESOURCES\n\n\\+\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Math Puzzles](https:\/\/www.cuemath.com\/math-puzzles\/)\n\n[MathFit™ 100 Puzzles](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/puzzle-booklet.pdf)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\nEVENTS\n\n[Math Fests](https:\/\/www.cuemath.com\/events\/math\/)\n\nEVENTS\n\n\\+\n\n[Math Fests](https:\/\/www.cuemath.com\/events\/math\/)\n\nMATH TUTORING\n\n[Online Math Classes](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Online Math Courses](https:\/\/www.cuemath.com\/online-math-courses\/)\n\n[Online Math Tutors](https:\/\/www.cuemath.com\/online-math-tutor\/)\n\n[Summer Math Courses](https:\/\/www.cuemath.com\/summer-math-courses\/)\n\n[Math Tutors near me](https:\/\/www.cuemath.com\/math-tutors-near-me\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[Math Tuition](https:\/\/www.cuemath.com\/math-tuition-india\/)\n\n[Math Tutors India](https:\/\/www.cuemath.com\/math-tutors-india\/)\n\nMATH TUTORING\n\n\\+\n\n[Online Math Classes](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Online Math Courses](https:\/\/www.cuemath.com\/online-math-courses\/)\n\n[Online Math Tutors](https:\/\/www.cuemath.com\/online-math-tutor\/)\n\n[Summer Math Courses](https:\/\/www.cuemath.com\/summer-math-courses\/)\n\n[Math Tutors near me](https:\/\/www.cuemath.com\/math-tutors-near-me\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[Math Tuition](https:\/\/www.cuemath.com\/math-tuition-india\/)\n\n[Math Tutors India](https:\/\/www.cuemath.com\/math-tutors-india\/)\n\nPARTNER WITH US\n\n[Become a volunteer\/affiliate](https:\/\/www.cuemath.com\/affiliate\/)\n\nPARTNER WITH US\n\n\\+\n\n[Become a volunteer\/affiliate](https:\/\/www.cuemath.com\/affiliate\/)\n\nBecome MathFit™:\n\nBoost math skills with daily fun challenges and puzzles.\n\nDownload the app\n\nSTRATEGY GAMES\n\nLOGIC PUZZLES\n\nMENTAL MATH\n\nBecome MathFit™:\n\nBoost math skills with daily fun challenges and puzzles.\n\nDownload the app\n\nSTRATEGY GAMES\n\nLOGIC PUZZLES\n\nMENTAL MATH\n\nABOUT CUEMATH\n\n[About Us](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\n[Contact Us](https:\/\/www.cuemath.com\/contact-us\/)\n\n[Refund Policy](https:\/\/www.cuemath.com\/refund-policy\/)\n\nABOUT CUEMATH\n\n\\+\n\n[About Us](https:\/\/www.cuemath.com\/about-us\/)\n\n[Our Impact](https:\/\/www.cuemath.com\/our-impact\/)\n\n[Our Tutors](https:\/\/www.cuemath.com\/our-tutors\/)\n\n[Our Reviews](https:\/\/www.cuemath.com\/our-reviews\/)\n\n[FAQs](https:\/\/www.cuemath.com\/frequently-asked-questions\/)\n\n[Pricing](https:\/\/www.cuemath.com\/pricing\/)\n\n[Contact Us](https:\/\/www.cuemath.com\/contact-us\/)\n\n[Refund Policy](https:\/\/www.cuemath.com\/refund-policy\/)\n\nOUR PROGRAMS\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[Algebra 1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Algebra 2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Cueprep](http:\/\/cueprep.com\/)\n\nOUR PROGRAMS\n\n\\+\n\n[Kindergarten](https:\/\/www.cuemath.com\/math-online-classes\/kindergarten\/)\n\n[Grade 1](https:\/\/www.cuemath.com\/math-online-classes\/grade-1\/)\n\n[Grade 2](https:\/\/www.cuemath.com\/math-online-classes\/grade-2\/)\n\n[Grade 3](https:\/\/www.cuemath.com\/math-online-classes\/grade-3\/)\n\n[Grade 4](https:\/\/www.cuemath.com\/math-online-classes\/grade-4\/)\n\n[Grade 5](https:\/\/www.cuemath.com\/math-online-classes\/grade-5\/)\n\n[Grade 6](https:\/\/www.cuemath.com\/math-online-classes\/grade-6\/)\n\n[Grade 7](https:\/\/www.cuemath.com\/math-online-classes\/grade-7\/)\n\n[Grade 8](https:\/\/www.cuemath.com\/math-online-classes\/grade-8\/)\n\n[Algebra 1](https:\/\/www.cuemath.com\/math-online-classes\/algebra-1\/)\n\n[Algebra 2](https:\/\/www.cuemath.com\/math-online-classes\/algebra-2\/)\n\n[Geometry](https:\/\/www.cuemath.com\/math-online-classes\/geometry\/)\n\n[Pre-Calculus](https:\/\/www.cuemath.com\/math-online-classes\/pre-calculus\/)\n\n[AP Calculus](https:\/\/www.cuemath.com\/math-online-classes\/ap-calculus\/)\n\n[Cueprep](http:\/\/cueprep.com\/)\n\nRESOURCES\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Math Puzzles](https:\/\/www.cuemath.com\/math-puzzles\/)\n\n[MathFit™ 100 Puzzles](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/puzzle-booklet.pdf)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\nRESOURCES\n\n\\+\n\n[Blogs](https:\/\/www.cuemath.com\/blog\/)\n\n[Math Puzzles](https:\/\/www.cuemath.com\/math-puzzles\/)\n\n[MathFit™ 100 Puzzles](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/puzzle-booklet.pdf)\n\n[Math Test](https:\/\/www.cuemath.com\/math-test\/)\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation\/)\n\nEVENTS\n\n[Math Fests](https:\/\/www.cuemath.com\/events\/math\/)\n\nEVENTS\n\n\\+\n\n[Math Fests](https:\/\/www.cuemath.com\/events\/math\/)\n\nMATH TUTORING\n\n[Online Math Classes](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Online Math Courses](https:\/\/www.cuemath.com\/online-math-courses\/)\n\n[Online Math Tutors](https:\/\/www.cuemath.com\/online-math-tutor\/)\n\n[Summer Math Courses](https:\/\/www.cuemath.com\/summer-math-courses\/)\n\n[Math Tutors near me](https:\/\/www.cuemath.com\/math-tutors-near-me\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[Math Tuition](https:\/\/www.cuemath.com\/math-tuition-india\/)\n\n[Math Tutors India](https:\/\/www.cuemath.com\/math-tutors-india\/)\n\nMATH TUTORING\n\n\\+\n\n[Online Math Classes](https:\/\/www.cuemath.com\/math-online-classes\/)\n\n[Online Math Courses](https:\/\/www.cuemath.com\/online-math-courses\/)\n\n[Online Math Tutors](https:\/\/www.cuemath.com\/online-math-tutor\/)\n\n[Summer Math Courses](https:\/\/www.cuemath.com\/summer-math-courses\/)\n\n[Math Tutors near me](https:\/\/www.cuemath.com\/math-tutors-near-me\/)\n\n[Test Prep](https:\/\/www.cuemath.com\/math-online-classes\/test-prep\/)\n\n[Math Tuition](https:\/\/www.cuemath.com\/math-tuition-india\/)\n\n[Math Tutors India](https:\/\/www.cuemath.com\/math-tutors-india\/)\n\nPARTNER WITH US\n\n[Become a volunteer\/affiliate](https:\/\/www.cuemath.com\/affiliate\/)\n\nPARTNER WITH US\n\n\\+\n\n[Become a volunteer\/affiliate](https:\/\/www.cuemath.com\/affiliate\/)\n\nUS Office\n\nCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805\n\nIndia Office\n\nPlot No. F-17\/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009\n\nUS Office\n\nCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805\n\nIndia Office\n\nPlot No. F-17\/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009\n\n![Cuemath Logo](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/cuemath-logo.svg)\n\n[Terms & conditions](https:\/\/www.cuemath.com\/terms)\n\n[Privacy Policy](https:\/\/www.cuemath.com\/privacy)\n\n[![Facebook](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook-grey.svg)![Facebook hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook.svg)](https:\/\/www.facebook.com\/cuemath\/)[![Youtube](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube-grey.svg)![Youtube hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube.svg)](https:\/\/www.youtube.com\/channel\/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram-grey.svg)![Instagram hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram.svg)](https:\/\/www.instagram.com\/cuemath\/)[![Twitter](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)![Twitter hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)](https:\/\/x.com\/cuemath)[![LinkedIn](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin-grey.svg)![LinkedIn hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin.svg)](https:\/\/www.linkedin.com\/company\/cue-learn\/)\n\n[![Facebook](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook-grey.svg)![Facebook hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/facebook.svg)](https:\/\/www.facebook.com\/cuemath\/)[![Youtube](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube-grey.svg)![Youtube hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/youtube.svg)](https:\/\/www.youtube.com\/channel\/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram-grey.svg)![Instagram hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/instagram.svg)](https:\/\/www.instagram.com\/cuemath\/)[![Twitter](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)![Twitter hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/twitter.svg)](https:\/\/x.com\/cuemath)[![LinkedIn](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin-grey.svg)![LinkedIn hover](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/social-media-icons\/linkedin.svg)](https:\/\/www.linkedin.com\/company\/cue-learn\/)\n\n![Cuemath Logo](https:\/\/d138zd1ktt9iqe.cloudfront.net\/static\/website-v3\/cuemath-logo.svg)\n\n[Terms & conditions](https:\/\/www.cuemath.com\/terms)\n\n[Privacy Policy](https:\/\/www.cuemath.com\/privacy)","attrs_readable_markdown":"The value of **sin pi\/2 is 1**. Sin pi\/2 radians in degrees is written as sin ((π\/2) × 180°\/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi\/2 with examples.\n\n- **Sin pi\/2:** 1\n- **Sin (-pi\/2):** -1\n- **Sin pi\/2 in degrees:**  sin (90°)\n## What is the Value of Sin pi\/2?\nThe value of sin pi\/2 is 1. Sin pi\/2 can also be expressed using the equivalent of the given [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) (pi\/2) in degrees (90°).\n\nWe know, using [radian to degree](https:\/\/www.cuemath.com\/geometry\/radians-to-degrees\/) conversion, θ in degrees = θ in radians × (180°\/[pi](https:\/\/www.cuemath.com\/geometry\/what-is-pi\/))  \n ⇒ pi\/2 radians = pi\/2 × (180°\/pi) = 90° or 90 [degrees](https:\/\/www.cuemath.com\/geometry\/degrees\/)  \n ∴ sin pi\/2 = sin π\/2 = sin(90°) = 1\n\n**Explanation:**\n\nFor sin pi\/2, the angle pi\/2 lies on the positive y-axis. Thus, sin pi\/2 value = 1  \n Since the sine function is a [periodic function](https:\/\/www.cuemath.com\/algebra\/periodic-function\/), we can represent sin pi\/2 as, sin pi\/2 = sin(pi\/2 + n × 2pi), n ∈ Z.  \n ⇒ sin pi\/2 = sin 5pi\/2 = sin 9pi\/2 , and so on.  \n **Note:** Since, sine is an [odd function](https:\/\/www.cuemath.com\/calculus\/odd-functions\/), the value of sin(-pi\/2) = -sin(pi\/2).\n\n## Methods to Find Value of Sin pi\/2\nThe value of sin pi\/2 is given as 1. We can find the value of sin pi\/2 by:\n\n- Using Trigonometric Functions\n- Using Unit Circle\n## Sin pi\/2 in Terms of Trigonometric Functions\nUsing [trigonometry](https:\/\/www.cuemath.com\/trigonometry\/) formulas, we can represent the sin pi\/2 as:\n\n- ± √(1-cos²(pi\/2))\n- ± tan(pi\/2)\/√(1 + tan²(pi\/2))\n- ± 1\/√(1 + cot²(pi\/2))\n- ± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n- 1\/cosec(pi\/2)\n\n**Note:** Since pi\/2 lies on the positive y-axis, the final value of sin pi\/2 is 1.\n\nWe can use trigonometric identities to represent sin pi\/2 as,\n\n- sin(pi - pi\/2) = sin pi\/2\n- \\-sin(pi + pi\/2) = -sin 3pi\/2\n- cos(pi\/2 - pi\/2) = cos 0\n- \\-cos(pi\/2 + pi\/2) = -cos pi\n## Sin pi\/2 Using Unit Circle\nTo find the value of sin π\/2 using the unit circle:\n\n- Rotate ‘r’ anticlockwise to form pi\/2 angle with the positive x-axis.\n- The sin of pi\/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.\n\nHence the value of sin pi\/2 = y = 1\n\n**☛ Also Check:**\n\n- [tan pi](https:\/\/www.cuemath.com\/trigonometry\/tan-pi\/)\n- [cos 11pi\/6](https:\/\/www.cuemath.com\/trigonometry\/cos-11pi-6\/)\n- [tan 11pi\/12](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-12\/)\n- [cos 2pi\/8](https:\/\/www.cuemath.com\/trigonometry\/cos-2pi-8\/)\n- [sin 4pi\/3](https:\/\/www.cuemath.com\/trigonometry\/sin-4pi-3\/)\n- [cos 7pi\/6](https:\/\/www.cuemath.com\/trigonometry\/cos-7pi-6\/)\n\nRead More\n\n## FAQs on Sin pi\/2\n### What is Sin pi\/2?\nSin pi\/2 is the value of sine [trigonometric function](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-functions\/) for an angle equal to pi\/2 radians.  ***The value of sin pi\/2 is 1.***\n\n### What is the Value of Sin pi\/2 in Terms of Cot pi\/2?\nWe can represent the sine function in terms of the cotangent function using [trig identities](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-identities\/), sin pi\/2 can be written as 1\/√(1 + cot²(pi\/2)). Here, the value of cot pi\/2 is equal to 0.\n\n### How to Find the Value of Sin pi\/2?\nThe value of sin pi\/2 can be calculated by constructing an [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) of π\/2 [radians](https:\/\/www.cuemath.com\/trigonometry\/what-is-a-radian\/) with the [x-axis](https:\/\/www.cuemath.com\/geometry\/x-and-y-axis\/), and then finding the coordinates of the corresponding point (0, 1) on the [unit circle](https:\/\/www.cuemath.com\/geometry\/unit-circle\/). The value of sin pi\/2 is equal to the y-coordinate (1). ∴ sin pi\/2 = 1.\n\n### How to Find Sin pi\/2 in Terms of Other Trigonometric Functions?\nUsing [trigonometry formula](https:\/\/www.cuemath.com\/trigonometry\/trigonometry-formula\/), the value of sin π\/2 can be given in terms of other trigonometric functions as:\n\n- ± √(1-cos²(pi\/2))\n- ± tan(pi\/2)\/√(1 + tan²(pi\/2))\n- ± 1\/√(1 + cot²(pi\/2))\n- ± √(sec²(pi\/2) - 1)\/sec(pi\/2)\n- 1\/cosec(pi\/2)\n\n☛ Also check: [trigonometric table](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-table\/)","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

1 day ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://www.cuemath.com/trigonometry/sin-pi-2/
Last Crawled	2026-04-17 13:36:44 (1 day ago)
First Indexed	2021-12-09 20:36:21 (4 years ago)
HTTP Status Code	200
Meta Title	Sin pi/2 - Find Value of Sin pi/2 \| Sin π/2
Meta Description	Sin pi/2 degrees is the value of sine trigonometric function for an angle equal to pi/2. Understand methods to find the value of sin pi/2 with examples and FAQs.
Meta Canonical	null
Boilerpipe Text	The value of sin pi/2 is 1 . Sin pi/2 radians in degrees is written as sin ((π/2) × 180°/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi/2 with examples. Sin pi/2: 1 Sin (-pi/2): -1 Sin pi/2 in degrees: sin (90°) What is the Value of Sin pi/2? The value of sin pi/2 is 1. Sin pi/2 can also be expressed using the equivalent of the given angle (pi/2) in degrees (90°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/ pi ) ⇒ pi/2 radians = pi/2 × (180°/pi) = 90° or 90 degrees ∴ sin pi/2 = sin π/2 = sin(90°) = 1 Explanation: For sin pi/2, the angle pi/2 lies on the positive y-axis. Thus, sin pi/2 value = 1 Since the sine function is a periodic function , we can represent sin pi/2 as, sin pi/2 = sin(pi/2 + n × 2pi), n ∈ Z. ⇒ sin pi/2 = sin 5pi/2 = sin 9pi/2 , and so on. Note: Since, sine is an odd function , the value of sin(-pi/2) = -sin(pi/2). Methods to Find Value of Sin pi/2 The value of sin pi/2 is given as 1. We can find the value of sin pi/2 by: Using Trigonometric Functions Using Unit Circle Sin pi/2 in Terms of Trigonometric Functions Using trigonometry formulas, we can represent the sin pi/2 as: ± √(1-cos²(pi/2)) ± tan(pi/2)/√(1 + tan²(pi/2)) ± 1/√(1 + cot²(pi/2)) ± √(sec²(pi/2) - 1)/sec(pi/2) 1/cosec(pi/2) Note: Since pi/2 lies on the positive y-axis, the final value of sin pi/2 is 1. We can use trigonometric identities to represent sin pi/2 as, sin(pi - pi/2) = sin pi/2 -sin(pi + pi/2) = -sin 3pi/2 cos(pi/2 - pi/2) = cos 0 -cos(pi/2 + pi/2) = -cos pi Sin pi/2 Using Unit Circle To find the value of sin π/2 using the unit circle: Rotate ‘r’ anticlockwise to form pi/2 angle with the positive x-axis. The sin of pi/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r. Hence the value of sin pi/2 = y = 1 ☛ Also Check: tan pi cos 11pi/6 tan 11pi/12 cos 2pi/8 sin 4pi/3 cos 7pi/6 Read More FAQs on Sin pi/2 What is Sin pi/2? Sin pi/2 is the value of sine trigonometric function for an angle equal to pi/2 radians. The value of sin pi/2 is 1. What is the Value of Sin pi/2 in Terms of Cot pi/2? We can represent the sine function in terms of the cotangent function using trig identities , sin pi/2 can be written as 1/√(1 + cot²(pi/2)). Here, the value of cot pi/2 is equal to 0. How to Find the Value of Sin pi/2? The value of sin pi/2 can be calculated by constructing an angle of π/2 radians with the x-axis , and then finding the coordinates of the corresponding point (0, 1) on the unit circle . The value of sin pi/2 is equal to the y-coordinate (1). ∴ sin pi/2 = 1. How to Find Sin pi/2 in Terms of Other Trigonometric Functions? Using trigonometry formula , the value of sin π/2 can be given in terms of other trigonometric functions as: ± √(1-cos²(pi/2)) ± tan(pi/2)/√(1 + tan²(pi/2)) ± 1/√(1 + cot²(pi/2)) ± √(sec²(pi/2) - 1)/sec(pi/2) 1/cosec(pi/2) ☛ Also check: trigonometric table
Markdown	[Math Tutoring](https://www.cuemath.com/math-online-classes/) [Elementary K-2](https://www.cuemath.com/math-online-classes/grade-k-2/) [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Elementary 3-5](https://www.cuemath.com/math-online-classes/grade-3-5/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Middle School](https://www.cuemath.com/math-online-classes/grade-6-8/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [High School](https://www.cuemath.com/math-online-classes/high-school/) [Algebra-1](https://www.cuemath.com/math-online-classes/algebra-1/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Algebra-2](https://www.cuemath.com/math-online-classes/algebra-2/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Pre-Calculus](https://www.cuemath.com/math-online-classes/ap-precalculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [STAAR](https://www.cuemath.com/test/staar-test/) [NJSLA](https://www.cuemath.com/test/njsla-test/) [MAP](https://www.cuemath.com/test/map-test/) [Math Kangaroo](https://www.cuemath.com/test/math-kangaroo/) [CogAT](https://www.cuemath.com/test/cogat-test/) [AASA](https://www.cuemath.com/test/aasa-test/) [SBAC](https://www.cuemath.com/test/sbac-test/) [AMC 8](https://www.cuemath.com/test/amc-8-test/) [GMAS](https://www.cuemath.com/test/gmas-test/) [IAR](https://www.cuemath.com/test/iar-test/) [SSAT](https://www.cuemath.com/test/ssat-test/) [Pricing](https://www.cuemath.com/pricing/) [Resources]() [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) [Math Test](https://www.cuemath.com/math-test/) [Events](https://www.cuemath.com/events/) [Blogs](https://www.cuemath.com/blog/) [Cuemath App](https://www.cuemath.com/apps/cuemath/?utm_source=website_navbar) [About Us]() [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Story & Mission](https://www.cuemath.com/about-us/) [Our Reviews](https://www.cuemath.com/our-reviews/) [Cuemath Vs Others](https://www.cuemath.com/blog/tag/cuemath-vs-others/) [What is MathFit](https://www.cuemath.com/blog/what-does-it-mean-to-be-mathfit/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) Download App [![Cuemath](data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTAxOCIgaGVpZ2h0PSIxNTIiIHZpZXdCb3g9IjAgMCAxMDE4IDE1MiIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggZmlsbC1ydWxlPSJldmVub2RkIiBjbGlwLXJ1bGU9ImV2ZW5vZGQiIGQ9Ik0xMDUuMTYgNi45NDgyOUM5MC4wMzg2IC0wLjE2NDkyMSA3My4wMTAyIC0xLjg3NjQgNTYuODE4OCAyLjA5MDFDNDAuNjI3NiA2LjA1NjU4IDI2LjIxOCAxNS40Njk1IDE1LjkxMTEgMjguODEwNUM1LjYwNDI4IDQyLjE1MTMgLTQuMDAwNTJlLTA2IDU4LjY0MzQgMCA3NS42MjkzQzQuMDAwNTNlLTA2IDkyLjYxNTIgNS42MDQzIDEwOS4xMDcgMTUuOTExMSAxMjIuNDQ4QzI2LjIxOCAxMzUuNzg5IDQwLjYyNzYgMTQ1LjIwMiA1Ni44MTg4IDE0OS4xNjlDNzMuMDEwMiAxNTMuMTM1IDkwLjAzODcgMTUxLjQyNCAxMDUuMTYgMTQ0LjMxQzEyMC4yODEgMTM3LjE5NyAxMzIuNjEzIDEyNS4wOTcgMTQwLjE3MSAxMDkuOTYyTDE0MC4zMzMgMTA5LjYzN0wxMTQuNzA2IDk2LjMxMjlMMTE0LjUzOSA5Ni42NDgzQzEwOS45MTIgMTA1LjkxNCAxMDIuMzY0IDExMy4zMTggOTMuMTEyMyAxMTcuNjcxQzgzLjg2MDQgMTIyLjAyMyA3My40NDI2IDEyMy4wNyA2My41MzcxIDEyMC42NDNDNTMuNjMxNSAxMTguMjE2IDQ0LjgxMzUgMTEyLjQ1NyAzOC41MDQ5IDEwNC4yOTFDMzIuMTk2MiA5Ni4xMjU3IDI4Ljc2NDcgODYuMDI5NCAyOC43NjQ3IDc1LjYyOTNDMjguNzY0NyA2NS4yMjkzIDMyLjE5NjIgNTUuMTMyOSAzOC41MDQ5IDQ2Ljk2NzFDNDQuODEzNSAzOC44MDE1IDUzLjYzMTQgMzMuMDQyMSA2My41MzcxIDMwLjYxNTVDNzMuNDQyNiAyOC4xODg5IDgzLjg2MDQgMjkuMjM1OCA5My4xMTIyIDMzLjU4NzlDMTAyLjM2NCAzNy45NDAxIDEwOS45MTIgNDUuMzQ0OCAxMTQuNTM5IDU0LjYxMDNMMTE0LjcwNiA1NC45NDU3TDE0MC4zMzMgNDEuNjIxN0wxNDAuMTcxIDQxLjI5NjlDMTMyLjYxMyAyNi4xNjE0IDEyMC4yODEgMTQuMDYxNCAxMDUuMTYgNi45NDgyOVpNMzA1LjAyMSAyLjk2NTk3SDQwNC4zMzNWMzEuMzE5NUgzMzMuOTI4VjU5LjY0MzVIMzk1LjQ0NVY4Ny45OTdIMzMzLjkyOFYxMjAuNjgxSDQwNC4zMzNWMTQ5LjAzNEgzMDUuMDIxVjIuOTY1OTdaTTQyOC44MTUgMi45NjU5N0g0NjMuNzM3TDUwOS45NzQgMTE0LjI3Mkw1NTYuMjEgMi45NjU5N0g1OTEuMTMyVjE0OS4wMzRINTYxLjk3M1Y2MC4yMDk4TDUyNS4wMzkgMTQ5LjAzNEg0OTQuOTA5TDQ1OC4xNzMgNjAuODJMNDU3Ljk3MyAxNDkuMDM0SDQyOC44MTVWMi45NjU5N1pNODkxLjcyMSAyLjk2NTk3SDkyMC42MjdWNTkuNjQzNUg5ODkuMDkzVjIuOTY1OTdIMTAxOFYxNDkuMDM0SDk4OS4wOTNWODcuOTk3SDkyMC42MjdWMTQ5LjAzNEg4OTEuNzIxVjIuOTY1OTdaTTg3MS44NzcgMi45NjU5N0g3NDUuMTM2VjMxLjMxOTVINzk0LjA1NFYxNDkuMDM0SDgyMi45NlYzMS4zMTk1SDg3MS44NzdWMi45NjU5N1pNNjY1LjU3MSAyLjk2NTk3SDY5OS43NjZMNzU3LjkwNiAxNDkuMDM0SDcyNS44NTFMNzEyLjI5MyAxMTQuNjczQzcxMi4yMTkgMTE0LjY5OSA3MTIuMTM0IDExNC43MjkgNzEyLjAzOCAxMTQuNzYzQzcxMS42NDcgMTE0LjkgNzExLjA3MiAxMTUuMDk0IDcxMC4zMzEgMTE1LjMyOEM3MDguODQ4IDExNS43OTUgNzA2LjY5OCAxMTYuNDE2IDcwNC4wMjYgMTE3LjAzOEM2OTguNjgzIDExOC4yODEgNjkxLjI0NSAxMTkuNTI0IDY4Mi44NzIgMTE5LjUyNEM2NzQuNDk4IDExOS41MjQgNjY2Ljk2IDExOC4yODEgNjYxLjUxNiAxMTcuMDM4QzY1OC43OTQgMTE2LjQxNyA2NTYuNTk0IDExNS43OTUgNjU1LjA3MyAxMTUuMzI5QzY1NC4zMTIgMTE1LjA5NSA2NTMuNzIyIDExNC45MDEgNjUzLjMyIDExNC43NjRMNjUzLjEzMSAxMTQuNjk5TDY1My4wNDggMTE0LjY3TDYzOS42OTEgMTQ5LjAzNEg2MDcuODM5TDY2NS41NzEgMi45NjU5N1pNNjY0LjI2NiA4Ni4xODk0TDY2NC4yOTEgODYuMjAwN0M2NjQuNTE3IDg2LjMgNjY0Ljg1MyA4Ni40NDI3IDY2NS4yOTMgODYuNjE0NUM2NjYuMTc0IDg2Ljk1OCA2NjcuNDcgODcuNDE3MyA2NjkuMTI0IDg3Ljg3NzFDNjcyLjQzMSA4OC43OTY3IDY3Ny4xNjcgODkuNzE3MiA2ODIuODcyIDg5LjcxNzJDNjg4LjU3NiA4OS43MTcyIDY5My4yNjEgODguNzk2OCA2OTYuNTE3IDg3Ljg3NzVDNjk4LjE0NSA4Ny40MTc5IDY5OS40MTUgODYuOTU4OCA3MDAuMjc3IDg2LjYxNTVDNzAwLjcwNyA4Ni40NDM5IDcwMS4wMzYgODYuMzAxMiA3MDEuMjU1IDg2LjIwMkw3MDEuMjc1IDg2LjE5M0w2ODIuNjcxIDM5LjAyMjNMNjY0LjI2NiA4Ni4xODk0Wk0xNjAuNjU4IDIuOTY1OTdIMTg5LjU2NFY5MC44Mjk0QzE4OS41NjQgMTAxLjAxMyAxOTIuMzI2IDEwOS4wNjcgMTk3LjUyMyAxMTQuNTczQzIwMi43MTggMTIwLjA3NiAyMTAuMzkzIDEyMy4wODMgMjIwLjMyMyAxMjMuMDgzQzIzMC4yNTMgMTIzLjA4MyAyMzcuOTI4IDEyMC4wNzYgMjQzLjEyMiAxMTQuNTczQzI0OC4zMiAxMDkuMDY3IDI1MS4wODIgMTAxLjAxMyAyNTEuMDgyIDkwLjgyOTRWMi45NjU5N0gyNzkuOTg3VjkwLjgyOTRDMjc5Ljk4NyAxMDkuNDQgMjc0LjQwNSAxMjQuNzQgMjY0LjEzMyAxMzUuMzg5QzI1My44NiAxNDYuMDQgMjM4LjkzMyAxNTIgMjIwLjMyMyAxNTJDMjAxLjcxMiAxNTIgMTg2Ljc4NiAxNDYuMDQgMTc2LjUxMiAxMzUuMzg5QzE2Ni4yNDEgMTI0Ljc0IDE2MC42NTggMTA5LjQ0IDE2MC42NTggOTAuODI5NFYyLjk2NTk3WiIgZmlsbD0iYmxhY2siLz4KPC9zdmc+Cg==)](https://www.cuemath.com/) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAwCAYAAABXAvmHAAAACXBIWXMAABYlAAAWJQFJUiTwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAABySURBVHgB7dexEUBAGEThRUoBKlCHXDdaEWmDahQglGjAys3dJe6S9828bANmLvklAAAAoJQqYTO52XXK63Sr20OjlB/YXK8ybjeGBrXiWpVzxwaN4i43KP8Tej9+cYcAAADwiXvgZ9wDL+4BAAAA4NMD0MwTE6FRFLUAAAAASUVORK5CYII=) [Math Tutoring](https://www.cuemath.com/math-online-classes/) [Elementary K-2](https://www.cuemath.com/math-online-classes/grade-k-2/) [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Elementary 3-5](https://www.cuemath.com/math-online-classes/grade-3-5/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Middle School](https://www.cuemath.com/math-online-classes/grade-6-8/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [High School](https://www.cuemath.com/math-online-classes/high-school/) [Algebra-1](https://www.cuemath.com/math-online-classes/algebra-1/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Algebra-2](https://www.cuemath.com/math-online-classes/algebra-2/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Pre-Calculus](https://www.cuemath.com/math-online-classes/ap-precalculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [STAAR](https://www.cuemath.com/test/staar-test/) [NJSLA](https://www.cuemath.com/test/njsla-test/) [MAP](https://www.cuemath.com/test/map-test/) [Math Kangaroo](https://www.cuemath.com/test/math-kangaroo/) [CogAT](https://www.cuemath.com/test/cogat-test/) [AASA](https://www.cuemath.com/test/aasa-test/) [SBAC](https://www.cuemath.com/test/sbac-test/) [AMC 8](https://www.cuemath.com/test/amc-8-test/) [GMAS](https://www.cuemath.com/test/gmas-test/) [IAR](https://www.cuemath.com/test/iar-test/) [SSAT](https://www.cuemath.com/test/ssat-test/) [Pricing](https://www.cuemath.com/pricing/) Resources [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) [Math Test](https://www.cuemath.com/math-test/) [Events](https://www.cuemath.com/events/) [Blogs](https://www.cuemath.com/blog/) [Cuemath App](https://www.cuemath.com/apps/cuemath/?utm_source=website_navbar) About Us [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Story & Mission](https://www.cuemath.com/about-us/) [Our Reviews](https://www.cuemath.com/our-reviews/) [Cuemath Vs Others](https://www.cuemath.com/blog/tag/cuemath-vs-others/) [What is MathFit](https://www.cuemath.com/blog/what-does-it-mean-to-be-mathfit/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) ![Download the Cuemath App](https://static.qumath.in/static/next/_next/static/images/app_banner_desktop-8753ba6fb9ffbf8a558f26e1450c864e.webp) ![Download the Cuemath App](https://static.qumath.in/static/next/_next/static/images/app_banner_mobile-3f26e4236459d2a093f12eabcd31dc32.webp) ![Download the Cuemath App](https://static.qumath.in/static/next/_next/static/images/app_banner_desktop-8753ba6fb9ffbf8a558f26e1450c864e.webp) ![Download the Cuemath App](https://static.qumath.in/static/next/_next/static/images/app_banner_mobile-3f26e4236459d2a093f12eabcd31dc32.webp) [Learn]()[Practice]()[Download]() # Sin pi/2 The value of sin pi/2 is 1. Sin pi/2 radians in degrees is written as sin ((π/2) × 180°/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi/2 with examples. - Sin pi/2: 1 - Sin (-pi/2): -1 - Sin pi/2 in degrees: sin (90°) ## What is the Value of Sin pi/2? The value of sin pi/2 is 1. Sin pi/2 can also be expressed using the equivalent of the given [angle](https://www.cuemath.com/geometry/angles/) (pi/2) in degrees (90°). We know, using [radian to degree](https://www.cuemath.com/geometry/radians-to-degrees/) conversion, θ in degrees = θ in radians × (180°/[pi](https://www.cuemath.com/geometry/what-is-pi/)) ⇒ pi/2 radians = pi/2 × (180°/pi) = 90° or 90 [degrees](https://www.cuemath.com/geometry/degrees/) ∴ sin pi/2 = sin π/2 = sin(90°) = 1 ![Sin pi/2](https://static.qumath.in/static/website/old-cdn-static/trigonometry/sin-pi-2.png) Explanation: For sin pi/2, the angle pi/2 lies on the positive y-axis. Thus, sin pi/2 value = 1 Since the sine function is a [periodic function](https://www.cuemath.com/algebra/periodic-function/), we can represent sin pi/2 as, sin pi/2 = sin(pi/2 + n × 2pi), n ∈ Z. ⇒ sin pi/2 = sin 5pi/2 = sin 9pi/2 , and so on. Note: Since, sine is an [odd function](https://www.cuemath.com/calculus/odd-functions/), the value of sin(-pi/2) = -sin(pi/2). ## Methods to Find Value of Sin pi/2 The value of sin pi/2 is given as 1. We can find the value of sin pi/2 by: - Using Trigonometric Functions - Using Unit Circle ## Sin pi/2 in Terms of Trigonometric Functions Using [trigonometry](https://www.cuemath.com/trigonometry/) formulas, we can represent the sin pi/2 as: - ± √(1-cos²(pi/2)) - ± tan(pi/2)/√(1 + tan²(pi/2)) - ± 1/√(1 + cot²(pi/2)) - ± √(sec²(pi/2) - 1)/sec(pi/2) - 1/cosec(pi/2) Note: Since pi/2 lies on the positive y-axis, the final value of sin pi/2 is 1. We can use trigonometric identities to represent sin pi/2 as, - sin(pi - pi/2) = sin pi/2 - \-sin(pi + pi/2) = -sin 3pi/2 - cos(pi/2 - pi/2) = cos 0 - \-cos(pi/2 + pi/2) = -cos pi ## Sin pi/2 Using Unit Circle ![value of sin pi/2](https://static.qumath.in/static/website/old-cdn-static/trigonometry/value-of-sin-pi-2.png) To find the value of sin π/2 using the unit circle: - Rotate ‘r’ anticlockwise to form pi/2 angle with the positive x-axis. - The sin of pi/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r. Hence the value of sin pi/2 = y = 1 ☛ Also Check: - [tan pi](https://www.cuemath.com/trigonometry/tan-pi/) - [cos 11pi/6](https://www.cuemath.com/trigonometry/cos-11pi-6/) - [tan 11pi/12](https://www.cuemath.com/trigonometry/tan-11pi-12/) - [cos 2pi/8](https://www.cuemath.com/trigonometry/cos-2pi-8/) - [sin 4pi/3](https://www.cuemath.com/trigonometry/sin-4pi-3/) - [cos 7pi/6](https://www.cuemath.com/trigonometry/cos-7pi-6/) Read More ## Examples Using Sin pi/2 1. Example 1: Find the value of sin(pi/2) if cosec(pi/2) is 1. Solution: Since, sin pi/2 = 1/csc(pi/2) ⇒ sin pi/2 = 1/1 = 1 2. Example 2: Find the value of 5 sin(pi/2)/7 cos(0). Solution: Using trigonometric identities, we know, sin(pi/2) = cos(pi/2 - pi/2) = cos(0). ⇒ sin(pi/2) = cos(0) ⇒ Value of 5 sin(pi/2)/7 cos(0) = 5/7 3. Example 3: Using the value of sin pi/2, solve: (1-cos²(pi/2)). Solution: We know, (1-cos²(pi/2)) = (sin²(pi/2)) = 1 ⇒ (1-cos²(pi/2)) = 1 Show Solution \> ![](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/topics-marketing-image-1612964508.png) Ready to see the world through math’s eyes? Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. [Book a Free Trial Class](https://www.cuemath.com/parent/signup/) ## FAQs on Sin pi/2 ### What is Sin pi/2? Sin pi/2 is the value of sine [trigonometric function](https://www.cuemath.com/trigonometry/trigonometric-functions/) for an angle equal to pi/2 radians. *The value of sin pi/2 is 1.* ### What is the Value of Sin pi/2 in Terms of Cot pi/2? We can represent the sine function in terms of the cotangent function using [trig identities](https://www.cuemath.com/trigonometry/trigonometric-identities/), sin pi/2 can be written as 1/√(1 + cot²(pi/2)). Here, the value of cot pi/2 is equal to 0. ### How to Find the Value of Sin pi/2? The value of sin pi/2 can be calculated by constructing an [angle](https://www.cuemath.com/geometry/angles/) of π/2 [radians](https://www.cuemath.com/trigonometry/what-is-a-radian/) with the [x-axis](https://www.cuemath.com/geometry/x-and-y-axis/), and then finding the coordinates of the corresponding point (0, 1) on the [unit circle](https://www.cuemath.com/geometry/unit-circle/). The value of sin pi/2 is equal to the y-coordinate (1). ∴ sin pi/2 = 1. ### What is the Value of Sin pi/2 in Terms of Cosec pi/2? Since the [cosecant function](https://www.cuemath.com/trigonometry/cosecant-functions/) is the reciprocal of the [sine function](https://www.cuemath.com/trigonometry/sine-function/), we can write sin pi/2 as 1/cosec(pi/2). The value of cosec pi/2 is equal to 1. ### How to Find Sin pi/2 in Terms of Other Trigonometric Functions? Using [trigonometry formula](https://www.cuemath.com/trigonometry/trigonometry-formula/), the value of sin π/2 can be given in terms of other trigonometric functions as: - ± √(1-cos²(pi/2)) - ± tan(pi/2)/√(1 + tan²(pi/2)) - ± 1/√(1 + cot²(pi/2)) - ± √(sec²(pi/2) - 1)/sec(pi/2) - 1/cosec(pi/2) ☛ Also check: [trigonometric table](https://www.cuemath.com/trigonometry/trigonometric-table/) Explore math program Download FREE Study Materials ![](data:image/svg+xml;base64,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) Trigonometry ![](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/thumbnails/tan-720-degrees-w1-first-page-1633776703.jpg) Trigonometry Worksheet ![](data:image/svg+xml;base64,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) Explore math program Math worksheets and visual curriculum Download App Become MathFit™: Boost math skills with daily fun challenges and puzzles. Download the app STRATEGY GAMES LOGIC PUZZLES MENTAL MATH Become MathFit™: Boost math skills with daily fun challenges and puzzles. Download the app STRATEGY GAMES LOGIC PUZZLES MENTAL MATH US Office CueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805 India Office Plot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009 US Office CueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805 India Office Plot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009 ![Cuemath Logo](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/cuemath-logo.svg) [Terms & conditions](https://www.cuemath.com/terms) [Privacy Policy](https://www.cuemath.com/privacy) [![Facebook](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook-grey.svg)![Facebook hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook.svg)](https://www.facebook.com/cuemath/)[![Youtube](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube-grey.svg)![Youtube hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube.svg)](https://www.youtube.com/channel/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram-grey.svg)![Instagram hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram.svg)](https://www.instagram.com/cuemath/)[![Twitter](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)![Twitter hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)](https://x.com/cuemath)[![LinkedIn](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin-grey.svg)![LinkedIn hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin.svg)](https://www.linkedin.com/company/cue-learn/) [![Facebook](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook-grey.svg)![Facebook hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook.svg)](https://www.facebook.com/cuemath/)[![Youtube](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube-grey.svg)![Youtube hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube.svg)](https://www.youtube.com/channel/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram-grey.svg)![Instagram hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram.svg)](https://www.instagram.com/cuemath/)[![Twitter](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)![Twitter hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)](https://x.com/cuemath)[![LinkedIn](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin-grey.svg)![LinkedIn hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin.svg)](https://www.linkedin.com/company/cue-learn/) ![Cuemath Logo](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/cuemath-logo.svg) [Terms & conditions](https://www.cuemath.com/terms) [Privacy Policy](https://www.cuemath.com/privacy) ABOUT CUEMATH [About Us](https://www.cuemath.com/about-us/) [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Reviews](https://www.cuemath.com/our-reviews/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) [Pricing](https://www.cuemath.com/pricing/) [Contact Us](https://www.cuemath.com/contact-us/) [Refund Policy](https://www.cuemath.com/refund-policy/) ABOUT CUEMATH \+ [About Us](https://www.cuemath.com/about-us/) [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Reviews](https://www.cuemath.com/our-reviews/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) [Pricing](https://www.cuemath.com/pricing/) [Contact Us](https://www.cuemath.com/contact-us/) [Refund Policy](https://www.cuemath.com/refund-policy/) OUR PROGRAMS [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [Algebra 1](https://www.cuemath.com/math-online-classes/algebra-1/) [Algebra 2](https://www.cuemath.com/math-online-classes/algebra-2/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Cueprep](http://cueprep.com/) OUR PROGRAMS \+ [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [Algebra 1](https://www.cuemath.com/math-online-classes/algebra-1/) [Algebra 2](https://www.cuemath.com/math-online-classes/algebra-2/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Cueprep](http://cueprep.com/) RESOURCES [Blogs](https://www.cuemath.com/blog/) [Math Puzzles](https://www.cuemath.com/math-puzzles/) [MathFit™ 100 Puzzles](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/puzzle-booklet.pdf) [Math Test](https://www.cuemath.com/math-test/) [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) RESOURCES \+ [Blogs](https://www.cuemath.com/blog/) [Math Puzzles](https://www.cuemath.com/math-puzzles/) [MathFit™ 100 Puzzles](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/puzzle-booklet.pdf) [Math Test](https://www.cuemath.com/math-test/) [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) EVENTS [Math Fests](https://www.cuemath.com/events/math/) EVENTS \+ [Math Fests](https://www.cuemath.com/events/math/) MATH TUTORING [Online Math Classes](https://www.cuemath.com/math-online-classes/) [Online Math Courses](https://www.cuemath.com/online-math-courses/) [Online Math Tutors](https://www.cuemath.com/online-math-tutor/) [Summer Math Courses](https://www.cuemath.com/summer-math-courses/) [Math Tutors near me](https://www.cuemath.com/math-tutors-near-me/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [Math Tuition](https://www.cuemath.com/math-tuition-india/) [Math Tutors India](https://www.cuemath.com/math-tutors-india/) MATH TUTORING \+ [Online Math Classes](https://www.cuemath.com/math-online-classes/) [Online Math Courses](https://www.cuemath.com/online-math-courses/) [Online Math Tutors](https://www.cuemath.com/online-math-tutor/) [Summer Math Courses](https://www.cuemath.com/summer-math-courses/) [Math Tutors near me](https://www.cuemath.com/math-tutors-near-me/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [Math Tuition](https://www.cuemath.com/math-tuition-india/) [Math Tutors India](https://www.cuemath.com/math-tutors-india/) PARTNER WITH US [Become a volunteer/affiliate](https://www.cuemath.com/affiliate/) PARTNER WITH US \+ [Become a volunteer/affiliate](https://www.cuemath.com/affiliate/) Become MathFit™: Boost math skills with daily fun challenges and puzzles. Download the app STRATEGY GAMES LOGIC PUZZLES MENTAL MATH Become MathFit™: Boost math skills with daily fun challenges and puzzles. Download the app STRATEGY GAMES LOGIC PUZZLES MENTAL MATH ABOUT CUEMATH [About Us](https://www.cuemath.com/about-us/) [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Reviews](https://www.cuemath.com/our-reviews/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) [Pricing](https://www.cuemath.com/pricing/) [Contact Us](https://www.cuemath.com/contact-us/) [Refund Policy](https://www.cuemath.com/refund-policy/) ABOUT CUEMATH \+ [About Us](https://www.cuemath.com/about-us/) [Our Impact](https://www.cuemath.com/our-impact/) [Our Tutors](https://www.cuemath.com/our-tutors/) [Our Reviews](https://www.cuemath.com/our-reviews/) [FAQs](https://www.cuemath.com/frequently-asked-questions/) [Pricing](https://www.cuemath.com/pricing/) [Contact Us](https://www.cuemath.com/contact-us/) [Refund Policy](https://www.cuemath.com/refund-policy/) OUR PROGRAMS [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [Algebra 1](https://www.cuemath.com/math-online-classes/algebra-1/) [Algebra 2](https://www.cuemath.com/math-online-classes/algebra-2/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Cueprep](http://cueprep.com/) OUR PROGRAMS \+ [Kindergarten](https://www.cuemath.com/math-online-classes/kindergarten/) [Grade 1](https://www.cuemath.com/math-online-classes/grade-1/) [Grade 2](https://www.cuemath.com/math-online-classes/grade-2/) [Grade 3](https://www.cuemath.com/math-online-classes/grade-3/) [Grade 4](https://www.cuemath.com/math-online-classes/grade-4/) [Grade 5](https://www.cuemath.com/math-online-classes/grade-5/) [Grade 6](https://www.cuemath.com/math-online-classes/grade-6/) [Grade 7](https://www.cuemath.com/math-online-classes/grade-7/) [Grade 8](https://www.cuemath.com/math-online-classes/grade-8/) [Algebra 1](https://www.cuemath.com/math-online-classes/algebra-1/) [Algebra 2](https://www.cuemath.com/math-online-classes/algebra-2/) [Geometry](https://www.cuemath.com/math-online-classes/geometry/) [Pre-Calculus](https://www.cuemath.com/math-online-classes/pre-calculus/) [AP Calculus](https://www.cuemath.com/math-online-classes/ap-calculus/) [Cueprep](http://cueprep.com/) RESOURCES [Blogs](https://www.cuemath.com/blog/) [Math Puzzles](https://www.cuemath.com/math-puzzles/) [MathFit™ 100 Puzzles](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/puzzle-booklet.pdf) [Math Test](https://www.cuemath.com/math-test/) [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) RESOURCES \+ [Blogs](https://www.cuemath.com/blog/) [Math Puzzles](https://www.cuemath.com/math-puzzles/) [MathFit™ 100 Puzzles](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/puzzle-booklet.pdf) [Math Test](https://www.cuemath.com/math-test/) [MathFit Evaluation](https://www.cuemath.com/mathfit-evaluation/) EVENTS [Math Fests](https://www.cuemath.com/events/math/) EVENTS \+ [Math Fests](https://www.cuemath.com/events/math/) MATH TUTORING [Online Math Classes](https://www.cuemath.com/math-online-classes/) [Online Math Courses](https://www.cuemath.com/online-math-courses/) [Online Math Tutors](https://www.cuemath.com/online-math-tutor/) [Summer Math Courses](https://www.cuemath.com/summer-math-courses/) [Math Tutors near me](https://www.cuemath.com/math-tutors-near-me/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [Math Tuition](https://www.cuemath.com/math-tuition-india/) [Math Tutors India](https://www.cuemath.com/math-tutors-india/) MATH TUTORING \+ [Online Math Classes](https://www.cuemath.com/math-online-classes/) [Online Math Courses](https://www.cuemath.com/online-math-courses/) [Online Math Tutors](https://www.cuemath.com/online-math-tutor/) [Summer Math Courses](https://www.cuemath.com/summer-math-courses/) [Math Tutors near me](https://www.cuemath.com/math-tutors-near-me/) [Test Prep](https://www.cuemath.com/math-online-classes/test-prep/) [Math Tuition](https://www.cuemath.com/math-tuition-india/) [Math Tutors India](https://www.cuemath.com/math-tutors-india/) PARTNER WITH US [Become a volunteer/affiliate](https://www.cuemath.com/affiliate/) PARTNER WITH US \+ [Become a volunteer/affiliate](https://www.cuemath.com/affiliate/) US Office CueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805 India Office Plot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009 US Office CueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805 India Office Plot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009 ![Cuemath Logo](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/cuemath-logo.svg) [Terms & conditions](https://www.cuemath.com/terms) [Privacy Policy](https://www.cuemath.com/privacy) [![Facebook](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook-grey.svg)![Facebook hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook.svg)](https://www.facebook.com/cuemath/)[![Youtube](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube-grey.svg)![Youtube hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube.svg)](https://www.youtube.com/channel/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram-grey.svg)![Instagram hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram.svg)](https://www.instagram.com/cuemath/)[![Twitter](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)![Twitter hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)](https://x.com/cuemath)[![LinkedIn](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin-grey.svg)![LinkedIn hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin.svg)](https://www.linkedin.com/company/cue-learn/) [![Facebook](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook-grey.svg)![Facebook hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/facebook.svg)](https://www.facebook.com/cuemath/)[![Youtube](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube-grey.svg)![Youtube hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/youtube.svg)](https://www.youtube.com/channel/UC24sjKTMy-d5Z-g2OsYYHqw)[![Instagram](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram-grey.svg)![Instagram hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/instagram.svg)](https://www.instagram.com/cuemath/)[![Twitter](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)![Twitter hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/twitter.svg)](https://x.com/cuemath)[![LinkedIn](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin-grey.svg)![LinkedIn hover](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/social-media-icons/linkedin.svg)](https://www.linkedin.com/company/cue-learn/) ![Cuemath Logo](https://d138zd1ktt9iqe.cloudfront.net/static/website-v3/cuemath-logo.svg) [Terms & conditions](https://www.cuemath.com/terms) [Privacy Policy](https://www.cuemath.com/privacy)
Readable Markdown	The value of sin pi/2 is 1. Sin pi/2 radians in degrees is written as sin ((π/2) × 180°/π), i.e., sin (90°). In this article, we will discuss the methods to find the value of sin pi/2 with examples. - Sin pi/2: 1 - Sin (-pi/2): -1 - Sin pi/2 in degrees: sin (90°) ## What is the Value of Sin pi/2? The value of sin pi/2 is 1. Sin pi/2 can also be expressed using the equivalent of the given [angle](https://www.cuemath.com/geometry/angles/) (pi/2) in degrees (90°). We know, using [radian to degree](https://www.cuemath.com/geometry/radians-to-degrees/) conversion, θ in degrees = θ in radians × (180°/[pi](https://www.cuemath.com/geometry/what-is-pi/)) ⇒ pi/2 radians = pi/2 × (180°/pi) = 90° or 90 [degrees](https://www.cuemath.com/geometry/degrees/) ∴ sin pi/2 = sin π/2 = sin(90°) = 1 Explanation: For sin pi/2, the angle pi/2 lies on the positive y-axis. Thus, sin pi/2 value = 1 Since the sine function is a [periodic function](https://www.cuemath.com/algebra/periodic-function/), we can represent sin pi/2 as, sin pi/2 = sin(pi/2 + n × 2pi), n ∈ Z. ⇒ sin pi/2 = sin 5pi/2 = sin 9pi/2 , and so on. Note: Since, sine is an [odd function](https://www.cuemath.com/calculus/odd-functions/), the value of sin(-pi/2) = -sin(pi/2). ## Methods to Find Value of Sin pi/2 The value of sin pi/2 is given as 1. We can find the value of sin pi/2 by: - Using Trigonometric Functions - Using Unit Circle ## Sin pi/2 in Terms of Trigonometric Functions Using [trigonometry](https://www.cuemath.com/trigonometry/) formulas, we can represent the sin pi/2 as: - ± √(1-cos²(pi/2)) - ± tan(pi/2)/√(1 + tan²(pi/2)) - ± 1/√(1 + cot²(pi/2)) - ± √(sec²(pi/2) - 1)/sec(pi/2) - 1/cosec(pi/2) Note: Since pi/2 lies on the positive y-axis, the final value of sin pi/2 is 1. We can use trigonometric identities to represent sin pi/2 as, - sin(pi - pi/2) = sin pi/2 - \-sin(pi + pi/2) = -sin 3pi/2 - cos(pi/2 - pi/2) = cos 0 - \-cos(pi/2 + pi/2) = -cos pi ## Sin pi/2 Using Unit Circle To find the value of sin π/2 using the unit circle: - Rotate ‘r’ anticlockwise to form pi/2 angle with the positive x-axis. - The sin of pi/2 equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r. Hence the value of sin pi/2 = y = 1 ☛ Also Check: - [tan pi](https://www.cuemath.com/trigonometry/tan-pi/) - [cos 11pi/6](https://www.cuemath.com/trigonometry/cos-11pi-6/) - [tan 11pi/12](https://www.cuemath.com/trigonometry/tan-11pi-12/) - [cos 2pi/8](https://www.cuemath.com/trigonometry/cos-2pi-8/) - [sin 4pi/3](https://www.cuemath.com/trigonometry/sin-4pi-3/) - [cos 7pi/6](https://www.cuemath.com/trigonometry/cos-7pi-6/) Read More ## FAQs on Sin pi/2 ### What is Sin pi/2? Sin pi/2 is the value of sine [trigonometric function](https://www.cuemath.com/trigonometry/trigonometric-functions/) for an angle equal to pi/2 radians. *The value of sin pi/2 is 1.* ### What is the Value of Sin pi/2 in Terms of Cot pi/2? We can represent the sine function in terms of the cotangent function using [trig identities](https://www.cuemath.com/trigonometry/trigonometric-identities/), sin pi/2 can be written as 1/√(1 + cot²(pi/2)). Here, the value of cot pi/2 is equal to 0. ### How to Find the Value of Sin pi/2? The value of sin pi/2 can be calculated by constructing an [angle](https://www.cuemath.com/geometry/angles/) of π/2 [radians](https://www.cuemath.com/trigonometry/what-is-a-radian/) with the [x-axis](https://www.cuemath.com/geometry/x-and-y-axis/), and then finding the coordinates of the corresponding point (0, 1) on the [unit circle](https://www.cuemath.com/geometry/unit-circle/). The value of sin pi/2 is equal to the y-coordinate (1). ∴ sin pi/2 = 1. ### How to Find Sin pi/2 in Terms of Other Trigonometric Functions? Using [trigonometry formula](https://www.cuemath.com/trigonometry/trigonometry-formula/), the value of sin π/2 can be given in terms of other trigonometric functions as: - ± √(1-cos²(pi/2)) - ± tan(pi/2)/√(1 + tan²(pi/2)) - ± 1/√(1 + cot²(pi/2)) - ± √(sec²(pi/2) - 1)/sec(pi/2) - 1/cosec(pi/2) ☛ Also check: [trigonometric table](https://www.cuemath.com/trigonometry/trigonometric-table/)
Shard	185 (laksa)
Root Hash	6203651625873809585
Unparsed URL	com,cuemath!www,/trigonometry/sin-pi-2/ s443