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1. Shard Calculation

Query:

Response:

Calculated Shard: 185 (from laksa101)

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-2pi-5/\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.cuemath.com/trigonometry/sin-2pi-5/\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.cuemath.com\/trigonometry\/sin-2pi-5\/","crawl_time":1775530105,"first_indexed_time":1639082199,"http_code":200,"src_unparsed":"com,cuemath!www,\/trigonometry\/sin-2pi-5\/ s443","src_root_hash":"6203651625873809585","history_drop_reason":null,"meta_title":"Sin 2pi\/5 - Find Value of Sin 2pi\/5 | Sin 2π\/5","meta_descriptions":["Sin 2pi\/5 degrees is the value of sine trigonometric function for an angle equal to 2pi\/5. Understand methods to find the value of sin 2pi\/5 with examples and FAQs."],"attrs_boilerpipe_text":"The value of\nsin 2pi\/5 is 0.9510565. . .\n. Sin 2pi\/5 radians in degrees is written as sin ((2π\/5) × 180°\/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi\/5 with examples.\nSin 2pi\/5:\n√(10 - 2√5)\/2\nSin 2pi\/5 in decimal:\n0.9510565. . .\nSin (-2pi\/5):\n-0.9510565. . .\nSin 2pi\/5 in degrees:\nsin (72°)\nWhat is the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 in\ndecimal\nis 0.951056516. . .. Sin 2pi\/5 can also be expressed using the equivalent of the given\nangle\n(2pi\/5) in degrees (72°).\nWe know, using\nradian to degree\nconversion, θ in degrees = θ in radians × (180°\/\npi\n)\n⇒ 2pi\/5 radians = 2pi\/5 × (180°\/pi) = 72° or 72\ndegrees\n∴ sin 2pi\/5 = sin 2π\/5 = sin(72°) = √(10 - 2√5)\/2 or 0.9510565. . .\nExplanation:\nFor sin 2pi\/5, the angle 2pi\/5 lies between 0 and pi\/2 (First\nQuadrant\n). Since sine function is positive in the first quadrant, thus sin 2pi\/5 value = √(10 - 2√5)\/2 or 0.9510565. . .\nSince the sine function is a\nperiodic function\n, we can represent sin 2pi\/5 as, sin 2pi\/5 = sin(2pi\/5 + n × 2pi), n ∈ Z.\n⇒ sin 2pi\/5 = sin 12pi\/5 = sin 22pi\/5 , and so on.\nNote:\nSince, sine is an\nodd function\n, the value of sin(-2pi\/5) = -sin(2pi\/5).\nMethods to Find Value of Sin 2pi\/5\nThe sine function is positive in the 1st quadrant. The value of sin 2pi\/5 is given as 0.95105. . .. We can find the value of sin 2pi\/5 by:\nUsing Trigonometric Functions\nUsing Unit Circle\nSin 2pi\/5 in Terms of Trigonometric Functions\nUsing\ntrigonometry\nformulas, we can represent the sin 2pi\/5 as:\n± √(1-cos²(2pi\/5))\n± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n± 1\/√(1 + cot²(2pi\/5))\n± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n1\/cosec(2pi\/5)\nNote:\nSince 2pi\/5 lies in the 1st Quadrant, the final value of sin 2pi\/5 will be positive.\nWe can use trigonometric identities to represent sin 2pi\/5 as,\nsin(pi - 2pi\/5) = sin 3pi\/5\n-sin(pi + 2pi\/5) = -sin 7pi\/5\ncos(pi\/2 - 2pi\/5) = cos pi\/10\n-cos(pi\/2 + 2pi\/5) = -cos 9pi\/10\nSin 2pi\/5 Using Unit Circle\nTo find the value of sin 2π\/5 using the unit circle:\nRotate ‘r’ anticlockwise to form 2pi\/5 angle with the positive x-axis.\nThe sin of 2pi\/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r.\nHence the value of sin 2pi\/5 = y = 0.9511 (approx)\n☛ Also Check:\nsin 11pi\/6\ntan 2pi\ntan 11pi 6\ntan 11pi\/12\ncos 2pi\/3\ncsc pi\/4\nFAQs on Sin 2pi\/5\nWhat is Sin 2pi\/5?\nSin 2pi\/5 is the value of sine\ntrigonometric function\nfor an angle equal to 2pi\/5 radians.\nThe value of sin 2pi\/5 is √(10 - 2√5)\/2 or 0.9511 (approx).\nWhat is the Value of Sin 2pi\/5 in Terms of Cosec 2pi\/5?\nSince the\ncosecant function\nis the reciprocal of the\nsine function\n, we can write sin 2pi\/5 as 1\/cosec(2pi\/5). The value of cosec 2pi\/5 is equal to 1.05146.\nWhat is the Value of Sin 2pi\/5 in Terms of Tan 2pi\/5?\nWe know, using\ntrig identities\n, we can write sin 2pi\/5 as tan(2pi\/5)\/√(1 + tan²(2pi\/5)). Here, the value of tan 2pi\/5 is equal to 3.077683.\nHow to Find Sin 2pi\/5 in Terms of Other Trigonometric Functions?\nUsing\ntrigonometry formula\n, the value of sin 2π\/5 can be given in terms of other trigonometric functions as:\n± √(1-cos²(2pi\/5))\n± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n± 1\/√(1 + cot²(2pi\/5))\n± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n1\/cosec(2pi\/5)\n☛ Also check:\ntrigonometry table\nHow to Find the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 can be calculated by constructing an\nangle\nof 2π\/5\nradians\nwith the\nx-axis\n, and then finding the coordinates of the corresponding point (0.309, 0.9511) on the\nunit circle\n. The value of sin 2pi\/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi\/5 = 0.9511.","attrs_markdown":"[Math Classes](https:\/\/www.cuemath.com\/en-eu\/math-online-classes)\n\n[Year K-2](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-1-3)\n\n[Kindergarten](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/kindergarten)\n\n[Year 1](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-1)\n\n[Year 2](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-2)\n\n[Year 3-5](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-4-6)\n\n[Year 3](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-3)\n\n[Year 4](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-4)\n\n[Year 5](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-5)\n\n[Year 6-8](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-7-8)\n\n[Year 6](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-6)\n\n[Year 7](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-7)\n\n[Year 8](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-8)\n\n[Pricing](https:\/\/www.cuemath.com\/en-eu\/pricing)\n\n[Resources]()\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation)\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\nGet started\n\n[Math Classes](https:\/\/www.cuemath.com\/en-eu\/math-online-classes)\n\n[Year K-2](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-1-3)\n\n[Kindergarten](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/kindergarten)\n\n[Year 1](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-1)\n\n[Year 2](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-2)\n\n[Year 3-5](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-4-6)\n\n[Year 3](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-3)\n\n[Year 4](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-4)\n\n[Year 5](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-5)\n\n[Year 6-8](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-7-8)\n\n[Year 6](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-6)\n\n[Year 7](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-7)\n\n[Year 8](https:\/\/www.cuemath.com\/en-eu\/math-online-classes\/year-8)\n\n[Pricing](https:\/\/www.cuemath.com\/en-eu\/pricing)\n\nResources\n\n[MathFit Evaluation](https:\/\/www.cuemath.com\/mathfit-evaluation)\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[Learn]()[Practice]()[Download]()\n\n# Sin 2pi\/5\nThe value of **sin 2pi\/5 is 0.9510565. . .**. Sin 2pi\/5 radians in degrees is written as sin ((2π\/5) × 180°\/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi\/5 with examples.\n\n- **Sin 2pi\/5:** √(10 - 2√5)\/2\n- **Sin 2pi\/5 in decimal:** 0.9510565. . .\n- **Sin (-2pi\/5):** -0.9510565. . .\n- **Sin 2pi\/5 in degrees:**  sin (72°)\n## What is the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 in [decimal](https:\/\/www.cuemath.com\/numbers\/decimals\/) is 0.951056516. . .. Sin 2pi\/5 can also be expressed using the equivalent of the given [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) (2pi\/5) in degrees (72°).\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 ⇒ 2pi\/5 radians = 2pi\/5 × (180°\/pi) = 72° or 72 [degrees](https:\/\/www.cuemath.com\/geometry\/degrees\/)  \n ∴ sin 2pi\/5 = sin 2π\/5 = sin(72°) = √(10 - 2√5)\/2 or 0.9510565. . .\n\n![Sin 2pi\/5](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/sin-2-pi-5.png)\n\n**Explanation:**\n\nFor sin 2pi\/5, the angle 2pi\/5 lies between 0 and pi\/2 (First [Quadrant](https:\/\/www.cuemath.com\/geometry\/quadrant\/)). Since sine function is positive in the first quadrant, thus sin 2pi\/5 value = √(10 - 2√5)\/2 or 0.9510565. . .  \n Since the sine function is a [periodic function](https:\/\/www.cuemath.com\/algebra\/periodic-function\/), we can represent sin 2pi\/5 as, sin 2pi\/5 = sin(2pi\/5 + n × 2pi), n ∈ Z.  \n ⇒ sin 2pi\/5 = sin 12pi\/5 = sin 22pi\/5 , and so on.  \n **Note:** Since, sine is an [odd function](https:\/\/www.cuemath.com\/calculus\/odd-functions\/), the value of sin(-2pi\/5) = -sin(2pi\/5).\n\n## Methods to Find Value of Sin 2pi\/5\nThe sine function is positive in the 1st quadrant. The value of sin 2pi\/5 is given as 0.95105. . .. We can find the value of sin 2pi\/5 by:\n\n- Using Trigonometric Functions\n- Using Unit Circle\n## Sin 2pi\/5 in Terms of Trigonometric Functions\nUsing [trigonometry](https:\/\/www.cuemath.com\/trigonometry\/) formulas, we can represent the sin 2pi\/5 as:\n\n- ± √(1-cos²(2pi\/5))\n- ± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n- ± 1\/√(1 + cot²(2pi\/5))\n- ± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n- 1\/cosec(2pi\/5)\n\n**Note:** Since 2pi\/5 lies in the 1st Quadrant, the final value of sin 2pi\/5 will be positive.\n\nWe can use trigonometric identities to represent sin 2pi\/5 as,\n\n- sin(pi - 2pi\/5) = sin 3pi\/5\n- \\-sin(pi + 2pi\/5) = -sin 7pi\/5\n- cos(pi\/2 - 2pi\/5) = cos pi\/10\n- \\-cos(pi\/2 + 2pi\/5) = -cos 9pi\/10\n## Sin 2pi\/5 Using Unit Circle\n![value of sin 2pi\/5](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/value-of-sin-2-pi-5.png)\n\nTo find the value of sin 2π\/5 using the unit circle:\n\n- Rotate ‘r’ anticlockwise to form 2pi\/5 angle with the positive x-axis.\n- The sin of 2pi\/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r.\n\nHence the value of sin 2pi\/5 = y = 0.9511 (approx)\n\n**☛ Also Check:**\n\n- [sin 11pi\/6](https:\/\/www.cuemath.com\/trigonometry\/sin-11pi-6\/)\n- [tan 2pi](https:\/\/www.cuemath.com\/trigonometry\/tan-2pi\/)\n- [tan 11pi 6](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-6\/)\n- [tan 11pi\/12](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-12\/)\n- [cos 2pi\/3](https:\/\/www.cuemath.com\/trigonometry\/cos-2pi-3\/)\n- [csc pi\/4](https:\/\/www.cuemath.com\/trigonometry\/csc-pi-4\/)\n\n## Examples Using Sin 2pi\/5\n1. **Example 1: Simplify: 3 (sin(2pi\/5)\/sin(12pi\/5))**\n   \n   **Solution:**\n   \n   We know sin 2pi\/5 = sin 12pi\/5  \n    ⇒ 3 sin(2pi\/5)\/sin(12pi\/5) = 3(sin(2pi\/5)\/sin(2pi\/5))  \n    = 3(1) = 3\n2. **Example 2: Find the value of sin(2pi\/5) if cosec(2pi\/5) is 1.0514.**\n   \n   **Solution:**\n   \n   Since, sin 2pi\/5 = 1\/csc(2pi\/5)  \n    ⇒ sin 2pi\/5 = 1\/1.0514 = 0.9511\n3. **Example 3: Using the value of sin 2pi\/5, solve: (1-cos²(2pi\/5)).**\n   \n   **Solution:**\n   \n   We know, (1-cos²(2pi\/5)) = (sin²(2pi\/5)) = 0.9045  \n    ⇒ (1-cos²(2pi\/5)) = 0.9045\n\nShow Solution \\>\n\n[go to slide](https:\/\/www.cuemath.com\/trigonometry\/sin-2pi-5\/#slide-913)[go to slide](https:\/\/www.cuemath.com\/trigonometry\/sin-2pi-5\/#slide-493)[go to slide](https:\/\/www.cuemath.com\/trigonometry\/sin-2pi-5\/#slide-999)\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 2pi\/5\n### What is Sin 2pi\/5?\nSin 2pi\/5 is the value of sine [trigonometric function](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-functions\/) for an angle equal to 2pi\/5 radians.  ***The value of sin 2pi\/5 is √(10 - 2√5)\/2 or 0.9511 (approx).***\n\n### What is the Value of Sin 2pi\/5 in Terms of Cosec 2pi\/5?\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 2pi\/5 as 1\/cosec(2pi\/5). The value of cosec 2pi\/5 is equal to 1.05146.\n\n### What is the Value of Sin 2pi\/5 in Terms of Tan 2pi\/5?\nWe know, using [trig identities](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-identities\/), we can write sin 2pi\/5 as tan(2pi\/5)\/√(1 + tan²(2pi\/5)). Here, the value of tan 2pi\/5 is equal to 3.077683.\n\n### How to Find Sin 2pi\/5 in Terms of Other Trigonometric Functions?\nUsing [trigonometry formula](https:\/\/www.cuemath.com\/trigonometry\/trigonometry-formula\/), the value of sin 2π\/5 can be given in terms of other trigonometric functions as:\n\n- ± √(1-cos²(2pi\/5))\n- ± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n- ± 1\/√(1 + cot²(2pi\/5))\n- ± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n- 1\/cosec(2pi\/5)\n\n☛ Also check: [trigonometry table](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-table\/)\n\n### How to Find the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 can be calculated by constructing an [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) of 2π\/5 [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 (0.309, 0.9511) on the [unit circle](https:\/\/www.cuemath.com\/geometry\/unit-circle\/). The value of sin 2pi\/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi\/5 = 0.9511.\n\nExplore  \n math program\n\nDownload FREE Study Materials\n\nTrigonometry\n\nExplore  \n math program\n\nMath worksheets and  \n visual curriculum\n\nBook a FREE Class\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 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Sin 2pi\/5 radians in degrees is written as sin ((2π\/5) × 180°\/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi\/5 with examples.\n\n- **Sin 2pi\/5:** √(10 - 2√5)\/2\n- **Sin 2pi\/5 in decimal:** 0.9510565. . .\n- **Sin (-2pi\/5):** -0.9510565. . .\n- **Sin 2pi\/5 in degrees:**  sin (72°)\n## What is the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 in [decimal](https:\/\/www.cuemath.com\/numbers\/decimals\/) is 0.951056516. . .. Sin 2pi\/5 can also be expressed using the equivalent of the given [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) (2pi\/5) in degrees (72°).\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 ⇒ 2pi\/5 radians = 2pi\/5 × (180°\/pi) = 72° or 72 [degrees](https:\/\/www.cuemath.com\/geometry\/degrees\/)  \n ∴ sin 2pi\/5 = sin 2π\/5 = sin(72°) = √(10 - 2√5)\/2 or 0.9510565. . .\n\n![Sin 2pi\/5](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/sin-2-pi-5.png)\n\n**Explanation:**\n\nFor sin 2pi\/5, the angle 2pi\/5 lies between 0 and pi\/2 (First [Quadrant](https:\/\/www.cuemath.com\/geometry\/quadrant\/)). Since sine function is positive in the first quadrant, thus sin 2pi\/5 value = √(10 - 2√5)\/2 or 0.9510565. . .  \n Since the sine function is a [periodic function](https:\/\/www.cuemath.com\/algebra\/periodic-function\/), we can represent sin 2pi\/5 as, sin 2pi\/5 = sin(2pi\/5 + n × 2pi), n ∈ Z.  \n ⇒ sin 2pi\/5 = sin 12pi\/5 = sin 22pi\/5 , and so on.  \n **Note:** Since, sine is an [odd function](https:\/\/www.cuemath.com\/calculus\/odd-functions\/), the value of sin(-2pi\/5) = -sin(2pi\/5).\n\n## Methods to Find Value of Sin 2pi\/5\nThe sine function is positive in the 1st quadrant. The value of sin 2pi\/5 is given as 0.95105. . .. We can find the value of sin 2pi\/5 by:\n\n- Using Trigonometric Functions\n- Using Unit Circle\n## Sin 2pi\/5 in Terms of Trigonometric Functions\nUsing [trigonometry](https:\/\/www.cuemath.com\/trigonometry\/) formulas, we can represent the sin 2pi\/5 as:\n\n- ± √(1-cos²(2pi\/5))\n- ± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n- ± 1\/√(1 + cot²(2pi\/5))\n- ± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n- 1\/cosec(2pi\/5)\n\n**Note:** Since 2pi\/5 lies in the 1st Quadrant, the final value of sin 2pi\/5 will be positive.\n\nWe can use trigonometric identities to represent sin 2pi\/5 as,\n\n- sin(pi - 2pi\/5) = sin 3pi\/5\n- \\-sin(pi + 2pi\/5) = -sin 7pi\/5\n- cos(pi\/2 - 2pi\/5) = cos pi\/10\n- \\-cos(pi\/2 + 2pi\/5) = -cos 9pi\/10\n## Sin 2pi\/5 Using Unit Circle\n![value of sin 2pi\/5](https:\/\/static.qumath.in\/static\/website\/old-cdn-static\/trigonometry\/value-of-sin-2-pi-5.png)\n\nTo find the value of sin 2π\/5 using the unit circle:\n\n- Rotate ‘r’ anticlockwise to form 2pi\/5 angle with the positive x-axis.\n- The sin of 2pi\/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r.\n\nHence the value of sin 2pi\/5 = y = 0.9511 (approx)\n\n**☛ Also Check:**\n\n- [sin 11pi\/6](https:\/\/www.cuemath.com\/trigonometry\/sin-11pi-6\/)\n- [tan 2pi](https:\/\/www.cuemath.com\/trigonometry\/tan-2pi\/)\n- [tan 11pi 6](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-6\/)\n- [tan 11pi\/12](https:\/\/www.cuemath.com\/trigonometry\/tan-11pi-12\/)\n- [cos 2pi\/3](https:\/\/www.cuemath.com\/trigonometry\/cos-2pi-3\/)\n- [csc pi\/4](https:\/\/www.cuemath.com\/trigonometry\/csc-pi-4\/)\n\n## FAQs on Sin 2pi\/5\n### What is Sin 2pi\/5?\nSin 2pi\/5 is the value of sine [trigonometric function](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-functions\/) for an angle equal to 2pi\/5 radians.  ***The value of sin 2pi\/5 is √(10 - 2√5)\/2 or 0.9511 (approx).***\n\n### What is the Value of Sin 2pi\/5 in Terms of Cosec 2pi\/5?\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 2pi\/5 as 1\/cosec(2pi\/5). The value of cosec 2pi\/5 is equal to 1.05146.\n\n### What is the Value of Sin 2pi\/5 in Terms of Tan 2pi\/5?\nWe know, using [trig identities](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-identities\/), we can write sin 2pi\/5 as tan(2pi\/5)\/√(1 + tan²(2pi\/5)). Here, the value of tan 2pi\/5 is equal to 3.077683.\n\n### How to Find Sin 2pi\/5 in Terms of Other Trigonometric Functions?\nUsing [trigonometry formula](https:\/\/www.cuemath.com\/trigonometry\/trigonometry-formula\/), the value of sin 2π\/5 can be given in terms of other trigonometric functions as:\n\n- ± √(1-cos²(2pi\/5))\n- ± tan(2pi\/5)\/√(1 + tan²(2pi\/5))\n- ± 1\/√(1 + cot²(2pi\/5))\n- ± √(sec²(2pi\/5) - 1)\/sec(2pi\/5)\n- 1\/cosec(2pi\/5)\n\n☛ Also check: [trigonometry table](https:\/\/www.cuemath.com\/trigonometry\/trigonometric-table\/)\n\n### How to Find the Value of Sin 2pi\/5?\nThe value of sin 2pi\/5 can be calculated by constructing an [angle](https:\/\/www.cuemath.com\/geometry\/angles\/) of 2π\/5 [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 (0.309, 0.9511) on the [unit circle](https:\/\/www.cuemath.com\/geometry\/unit-circle\/). The value of sin 2pi\/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi\/5 = 0.9511.","meta_canonical":null}

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Meta Description	Sin 2pi/5 degrees is the value of sine trigonometric function for an angle equal to 2pi/5. Understand methods to find the value of sin 2pi/5 with examples and FAQs.
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Boilerpipe Text	The value of sin 2pi/5 is 0.9510565. . . . Sin 2pi/5 radians in degrees is written as sin ((2π/5) × 180°/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi/5 with examples. Sin 2pi/5: √(10 - 2√5)/2 Sin 2pi/5 in decimal: 0.9510565. . . Sin (-2pi/5): -0.9510565. . . Sin 2pi/5 in degrees: sin (72°) What is the Value of Sin 2pi/5? The value of sin 2pi/5 in decimal is 0.951056516. . .. Sin 2pi/5 can also be expressed using the equivalent of the given angle (2pi/5) in degrees (72°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/ pi ) ⇒ 2pi/5 radians = 2pi/5 × (180°/pi) = 72° or 72 degrees ∴ sin 2pi/5 = sin 2π/5 = sin(72°) = √(10 - 2√5)/2 or 0.9510565. . . Explanation: For sin 2pi/5, the angle 2pi/5 lies between 0 and pi/2 (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 2pi/5 value = √(10 - 2√5)/2 or 0.9510565. . . Since the sine function is a periodic function , we can represent sin 2pi/5 as, sin 2pi/5 = sin(2pi/5 + n × 2pi), n ∈ Z. ⇒ sin 2pi/5 = sin 12pi/5 = sin 22pi/5 , and so on. Note: Since, sine is an odd function , the value of sin(-2pi/5) = -sin(2pi/5). Methods to Find Value of Sin 2pi/5 The sine function is positive in the 1st quadrant. The value of sin 2pi/5 is given as 0.95105. . .. We can find the value of sin 2pi/5 by: Using Trigonometric Functions Using Unit Circle Sin 2pi/5 in Terms of Trigonometric Functions Using trigonometry formulas, we can represent the sin 2pi/5 as: ± √(1-cos²(2pi/5)) ± tan(2pi/5)/√(1 + tan²(2pi/5)) ± 1/√(1 + cot²(2pi/5)) ± √(sec²(2pi/5) - 1)/sec(2pi/5) 1/cosec(2pi/5) Note: Since 2pi/5 lies in the 1st Quadrant, the final value of sin 2pi/5 will be positive. We can use trigonometric identities to represent sin 2pi/5 as, sin(pi - 2pi/5) = sin 3pi/5 -sin(pi + 2pi/5) = -sin 7pi/5 cos(pi/2 - 2pi/5) = cos pi/10 -cos(pi/2 + 2pi/5) = -cos 9pi/10 Sin 2pi/5 Using Unit Circle To find the value of sin 2π/5 using the unit circle: Rotate ‘r’ anticlockwise to form 2pi/5 angle with the positive x-axis. The sin of 2pi/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r. Hence the value of sin 2pi/5 = y = 0.9511 (approx) ☛ Also Check: sin 11pi/6 tan 2pi tan 11pi 6 tan 11pi/12 cos 2pi/3 csc pi/4 FAQs on Sin 2pi/5 What is Sin 2pi/5? Sin 2pi/5 is the value of sine trigonometric function for an angle equal to 2pi/5 radians. The value of sin 2pi/5 is √(10 - 2√5)/2 or 0.9511 (approx). What is the Value of Sin 2pi/5 in Terms of Cosec 2pi/5? Since the cosecant function is the reciprocal of the sine function , we can write sin 2pi/5 as 1/cosec(2pi/5). The value of cosec 2pi/5 is equal to 1.05146. What is the Value of Sin 2pi/5 in Terms of Tan 2pi/5? We know, using trig identities , we can write sin 2pi/5 as tan(2pi/5)/√(1 + tan²(2pi/5)). Here, the value of tan 2pi/5 is equal to 3.077683. How to Find Sin 2pi/5 in Terms of Other Trigonometric Functions? Using trigonometry formula , the value of sin 2π/5 can be given in terms of other trigonometric functions as: ± √(1-cos²(2pi/5)) ± tan(2pi/5)/√(1 + tan²(2pi/5)) ± 1/√(1 + cot²(2pi/5)) ± √(sec²(2pi/5) - 1)/sec(2pi/5) 1/cosec(2pi/5) ☛ Also check: trigonometry table How to Find the Value of Sin 2pi/5? The value of sin 2pi/5 can be calculated by constructing an angle of 2π/5 radians with the x-axis , and then finding the coordinates of the corresponding point (0.309, 0.9511) on the unit circle . The value of sin 2pi/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi/5 = 0.9511.
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Sin 2pi/5 radians in degrees is written as sin ((2π/5) × 180°/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi/5 with examples. - Sin 2pi/5: √(10 - 2√5)/2 - Sin 2pi/5 in decimal: 0.9510565. . . - Sin (-2pi/5): -0.9510565. . . - Sin 2pi/5 in degrees: sin (72°) ## What is the Value of Sin 2pi/5? The value of sin 2pi/5 in [decimal](https://www.cuemath.com/numbers/decimals/) is 0.951056516. . .. Sin 2pi/5 can also be expressed using the equivalent of the given [angle](https://www.cuemath.com/geometry/angles/) (2pi/5) in degrees (72°). 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/)) ⇒ 2pi/5 radians = 2pi/5 × (180°/pi) = 72° or 72 [degrees](https://www.cuemath.com/geometry/degrees/) ∴ sin 2pi/5 = sin 2π/5 = sin(72°) = √(10 - 2√5)/2 or 0.9510565. . . ![Sin 2pi/5](https://static.qumath.in/static/website/old-cdn-static/trigonometry/sin-2-pi-5.png) Explanation: For sin 2pi/5, the angle 2pi/5 lies between 0 and pi/2 (First [Quadrant](https://www.cuemath.com/geometry/quadrant/)). Since sine function is positive in the first quadrant, thus sin 2pi/5 value = √(10 - 2√5)/2 or 0.9510565. . . Since the sine function is a [periodic function](https://www.cuemath.com/algebra/periodic-function/), we can represent sin 2pi/5 as, sin 2pi/5 = sin(2pi/5 + n × 2pi), n ∈ Z. ⇒ sin 2pi/5 = sin 12pi/5 = sin 22pi/5 , and so on. Note: Since, sine is an [odd function](https://www.cuemath.com/calculus/odd-functions/), the value of sin(-2pi/5) = -sin(2pi/5). ## Methods to Find Value of Sin 2pi/5 The sine function is positive in the 1st quadrant. The value of sin 2pi/5 is given as 0.95105. . .. We can find the value of sin 2pi/5 by: - Using Trigonometric Functions - Using Unit Circle ## Sin 2pi/5 in Terms of Trigonometric Functions Using [trigonometry](https://www.cuemath.com/trigonometry/) formulas, we can represent the sin 2pi/5 as: - ± √(1-cos²(2pi/5)) - ± tan(2pi/5)/√(1 + tan²(2pi/5)) - ± 1/√(1 + cot²(2pi/5)) - ± √(sec²(2pi/5) - 1)/sec(2pi/5) - 1/cosec(2pi/5) Note: Since 2pi/5 lies in the 1st Quadrant, the final value of sin 2pi/5 will be positive. We can use trigonometric identities to represent sin 2pi/5 as, - sin(pi - 2pi/5) = sin 3pi/5 - \-sin(pi + 2pi/5) = -sin 7pi/5 - cos(pi/2 - 2pi/5) = cos pi/10 - \-cos(pi/2 + 2pi/5) = -cos 9pi/10 ## Sin 2pi/5 Using Unit Circle ![value of sin 2pi/5](https://static.qumath.in/static/website/old-cdn-static/trigonometry/value-of-sin-2-pi-5.png) To find the value of sin 2π/5 using the unit circle: - Rotate ‘r’ anticlockwise to form 2pi/5 angle with the positive x-axis. - The sin of 2pi/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r. Hence the value of sin 2pi/5 = y = 0.9511 (approx) ☛ Also Check: - [sin 11pi/6](https://www.cuemath.com/trigonometry/sin-11pi-6/) - [tan 2pi](https://www.cuemath.com/trigonometry/tan-2pi/) - [tan 11pi 6](https://www.cuemath.com/trigonometry/tan-11pi-6/) - [tan 11pi/12](https://www.cuemath.com/trigonometry/tan-11pi-12/) - [cos 2pi/3](https://www.cuemath.com/trigonometry/cos-2pi-3/) - [csc pi/4](https://www.cuemath.com/trigonometry/csc-pi-4/) ## Examples Using Sin 2pi/5 1. Example 1: Simplify: 3 (sin(2pi/5)/sin(12pi/5)) Solution: We know sin 2pi/5 = sin 12pi/5 ⇒ 3 sin(2pi/5)/sin(12pi/5) = 3(sin(2pi/5)/sin(2pi/5)) = 3(1) = 3 2. Example 2: Find the value of sin(2pi/5) if cosec(2pi/5) is 1.0514. Solution: Since, sin 2pi/5 = 1/csc(2pi/5) ⇒ sin 2pi/5 = 1/1.0514 = 0.9511 3. Example 3: Using the value of sin 2pi/5, solve: (1-cos²(2pi/5)). Solution: We know, (1-cos²(2pi/5)) = (sin²(2pi/5)) = 0.9045 ⇒ (1-cos²(2pi/5)) = 0.9045 Show Solution \> [go to slide](https://www.cuemath.com/trigonometry/sin-2pi-5/#slide-913)[go to slide](https://www.cuemath.com/trigonometry/sin-2pi-5/#slide-493)[go to slide](https://www.cuemath.com/trigonometry/sin-2pi-5/#slide-999) ![](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 2pi/5 ### What is Sin 2pi/5? Sin 2pi/5 is the value of sine [trigonometric function](https://www.cuemath.com/trigonometry/trigonometric-functions/) for an angle equal to 2pi/5 radians. *The value of sin 2pi/5 is √(10 - 2√5)/2 or 0.9511 (approx).* ### What is the Value of Sin 2pi/5 in Terms of Cosec 2pi/5? 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 2pi/5 as 1/cosec(2pi/5). The value of cosec 2pi/5 is equal to 1.05146. ### What is the Value of Sin 2pi/5 in Terms of Tan 2pi/5? We know, using [trig identities](https://www.cuemath.com/trigonometry/trigonometric-identities/), we can write sin 2pi/5 as tan(2pi/5)/√(1 + tan²(2pi/5)). Here, the value of tan 2pi/5 is equal to 3.077683. ### How to Find Sin 2pi/5 in Terms of Other Trigonometric Functions? Using [trigonometry formula](https://www.cuemath.com/trigonometry/trigonometry-formula/), the value of sin 2π/5 can be given in terms of other trigonometric functions as: - ± √(1-cos²(2pi/5)) - ± tan(2pi/5)/√(1 + tan²(2pi/5)) - ± 1/√(1 + cot²(2pi/5)) - ± √(sec²(2pi/5) - 1)/sec(2pi/5) - 1/cosec(2pi/5) ☛ Also check: [trigonometry table](https://www.cuemath.com/trigonometry/trigonometric-table/) ### How to Find the Value of Sin 2pi/5? The value of sin 2pi/5 can be calculated by constructing an [angle](https://www.cuemath.com/geometry/angles/) of 2π/5 [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 (0.309, 0.9511) on the [unit circle](https://www.cuemath.com/geometry/unit-circle/). The value of sin 2pi/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi/5 = 0.9511. 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Readable Markdown	The value of sin 2pi/5 is 0.9510565. . .. Sin 2pi/5 radians in degrees is written as sin ((2π/5) × 180°/π), i.e., sin (72°). In this article, we will discuss the methods to find the value of sin 2pi/5 with examples. - Sin 2pi/5: √(10 - 2√5)/2 - Sin 2pi/5 in decimal: 0.9510565. . . - Sin (-2pi/5): -0.9510565. . . - Sin 2pi/5 in degrees: sin (72°) ## What is the Value of Sin 2pi/5? The value of sin 2pi/5 in [decimal](https://www.cuemath.com/numbers/decimals/) is 0.951056516. . .. Sin 2pi/5 can also be expressed using the equivalent of the given [angle](https://www.cuemath.com/geometry/angles/) (2pi/5) in degrees (72°). 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/)) ⇒ 2pi/5 radians = 2pi/5 × (180°/pi) = 72° or 72 [degrees](https://www.cuemath.com/geometry/degrees/) ∴ sin 2pi/5 = sin 2π/5 = sin(72°) = √(10 - 2√5)/2 or 0.9510565. . . ![Sin 2pi/5](https://static.qumath.in/static/website/old-cdn-static/trigonometry/sin-2-pi-5.png) Explanation: For sin 2pi/5, the angle 2pi/5 lies between 0 and pi/2 (First [Quadrant](https://www.cuemath.com/geometry/quadrant/)). Since sine function is positive in the first quadrant, thus sin 2pi/5 value = √(10 - 2√5)/2 or 0.9510565. . . Since the sine function is a [periodic function](https://www.cuemath.com/algebra/periodic-function/), we can represent sin 2pi/5 as, sin 2pi/5 = sin(2pi/5 + n × 2pi), n ∈ Z. ⇒ sin 2pi/5 = sin 12pi/5 = sin 22pi/5 , and so on. Note: Since, sine is an [odd function](https://www.cuemath.com/calculus/odd-functions/), the value of sin(-2pi/5) = -sin(2pi/5). ## Methods to Find Value of Sin 2pi/5 The sine function is positive in the 1st quadrant. The value of sin 2pi/5 is given as 0.95105. . .. We can find the value of sin 2pi/5 by: - Using Trigonometric Functions - Using Unit Circle ## Sin 2pi/5 in Terms of Trigonometric Functions Using [trigonometry](https://www.cuemath.com/trigonometry/) formulas, we can represent the sin 2pi/5 as: - ± √(1-cos²(2pi/5)) - ± tan(2pi/5)/√(1 + tan²(2pi/5)) - ± 1/√(1 + cot²(2pi/5)) - ± √(sec²(2pi/5) - 1)/sec(2pi/5) - 1/cosec(2pi/5) Note: Since 2pi/5 lies in the 1st Quadrant, the final value of sin 2pi/5 will be positive. We can use trigonometric identities to represent sin 2pi/5 as, - sin(pi - 2pi/5) = sin 3pi/5 - \-sin(pi + 2pi/5) = -sin 7pi/5 - cos(pi/2 - 2pi/5) = cos pi/10 - \-cos(pi/2 + 2pi/5) = -cos 9pi/10 ## Sin 2pi/5 Using Unit Circle ![value of sin 2pi/5](https://static.qumath.in/static/website/old-cdn-static/trigonometry/value-of-sin-2-pi-5.png) To find the value of sin 2π/5 using the unit circle: - Rotate ‘r’ anticlockwise to form 2pi/5 angle with the positive x-axis. - The sin of 2pi/5 equals the y-coordinate(0.9511) of the point of intersection (0.309, 0.9511) of unit circle and r. Hence the value of sin 2pi/5 = y = 0.9511 (approx) ☛ Also Check: - [sin 11pi/6](https://www.cuemath.com/trigonometry/sin-11pi-6/) - [tan 2pi](https://www.cuemath.com/trigonometry/tan-2pi/) - [tan 11pi 6](https://www.cuemath.com/trigonometry/tan-11pi-6/) - [tan 11pi/12](https://www.cuemath.com/trigonometry/tan-11pi-12/) - [cos 2pi/3](https://www.cuemath.com/trigonometry/cos-2pi-3/) - [csc pi/4](https://www.cuemath.com/trigonometry/csc-pi-4/) ## FAQs on Sin 2pi/5 ### What is Sin 2pi/5? Sin 2pi/5 is the value of sine [trigonometric function](https://www.cuemath.com/trigonometry/trigonometric-functions/) for an angle equal to 2pi/5 radians. *The value of sin 2pi/5 is √(10 - 2√5)/2 or 0.9511 (approx).* ### What is the Value of Sin 2pi/5 in Terms of Cosec 2pi/5? 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 2pi/5 as 1/cosec(2pi/5). The value of cosec 2pi/5 is equal to 1.05146. ### What is the Value of Sin 2pi/5 in Terms of Tan 2pi/5? We know, using [trig identities](https://www.cuemath.com/trigonometry/trigonometric-identities/), we can write sin 2pi/5 as tan(2pi/5)/√(1 + tan²(2pi/5)). Here, the value of tan 2pi/5 is equal to 3.077683. ### How to Find Sin 2pi/5 in Terms of Other Trigonometric Functions? Using [trigonometry formula](https://www.cuemath.com/trigonometry/trigonometry-formula/), the value of sin 2π/5 can be given in terms of other trigonometric functions as: - ± √(1-cos²(2pi/5)) - ± tan(2pi/5)/√(1 + tan²(2pi/5)) - ± 1/√(1 + cot²(2pi/5)) - ± √(sec²(2pi/5) - 1)/sec(2pi/5) - 1/cosec(2pi/5) ☛ Also check: [trigonometry table](https://www.cuemath.com/trigonometry/trigonometric-table/) ### How to Find the Value of Sin 2pi/5? The value of sin 2pi/5 can be calculated by constructing an [angle](https://www.cuemath.com/geometry/angles/) of 2π/5 [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 (0.309, 0.9511) on the [unit circle](https://www.cuemath.com/geometry/unit-circle/). The value of sin 2pi/5 is equal to the y-coordinate (0.9511). ∴ sin 2pi/5 = 0.9511.
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