🕷️ Crawler Inspector

URL Lookup

Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 2 (from laksa093)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa002.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.symbolab.com/popular-trigonometry/trigonometry-38145\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.symbolab.com/popular-trigonometry/trigonometry-38145\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38145","crawl_time":1771824546,"first_indexed_time":1745228205,"http_code":200,"src_unparsed":"com,symbolab!www,\/popular-trigonometry\/trigonometry-38145 s443","src_root_hash":"1977249391401099202","history_drop_reason":null,"meta_title":"sin(2pi+pi\/2)","meta_descriptions":["Detailed step by step solution for sin(2pi+pi\/2)"],"attrs_boilerpipe_text":"Solution\nSolution\nSolution steps\nSimplify:\nConvert element to fraction:\nSince the denominators are equal, combine the fractions:\nMultiply the numbers:\nAdd similar elements:\nRewrite\nas\nApply the periodicity of\n:\nUse the following trivial identity:\nperiodicity table with\ncycle:\nPopular Examples\nFrequently Asked Questions (FAQ)\nWhat is the value of sin(2pi+pi\/2) ?\nThe value of sin(2pi+pi\/2) is 1","attrs_markdown":"[Solutions](https:\/\/www.symbolab.com\/solver)\n\n[Integral Calculator](https:\/\/www.symbolab.com\/solver\/integral-calculator)[Derivative Calculator](https:\/\/www.symbolab.com\/solver\/derivative-calculator)[Algebra Calculator](https:\/\/www.symbolab.com\/solver\/algebra-calculator)[Matrix Calculator](https:\/\/www.symbolab.com\/solver\/matrix-calculator)[More...](https:\/\/www.symbolab.com\/solver)\n\n[Graphing](https:\/\/www.symbolab.com\/graphing-calculator)\n\n[Line Graph Calculator](https:\/\/www.symbolab.com\/graphing-calculator\/line)[Exponential Graph Calculator](https:\/\/www.symbolab.com\/graphing-calculator\/exponential-graph)[Quadratic Graph Calculator](https:\/\/www.symbolab.com\/graphing-calculator\/quadratic-graph)[Sin graph Calculator](https:\/\/www.symbolab.com\/graphing-calculator\/graph-of-sin)[More...](https:\/\/www.symbolab.com\/graphing-calculator)\n\n[Calculators](https:\/\/www.symbolab.com\/calculators)\n\n[BMI Calculator](https:\/\/www.symbolab.com\/calculator\/fitness\/bmi)[Compound Interest Calculator](https:\/\/www.symbolab.com\/calculator\/finance\/compound_interest_rate)[Percentage Calculator](https:\/\/www.symbolab.com\/calculator\/math\/percentage)[Acceleration Calculator](https:\/\/www.symbolab.com\/calculator\/physics\/acceleration)[More...](https:\/\/www.symbolab.com\/calculators)\n\n[Geometry](https:\/\/www.symbolab.com\/geometry-calculator)\n\n[Pythagorean Theorem Calculator](https:\/\/www.symbolab.com\/geometry-calculator\/pythagorean-theorem-calculator)[Circle Area Calculator](https:\/\/www.symbolab.com\/geometry-calculator\/circle-area-diameter-calculator)[Isosceles Triangle Calculator](https:\/\/www.symbolab.com\/geometry-calculator\/isosceles-triangle-prove-angles-calculator)[Triangles Calculator](https:\/\/www.symbolab.com\/geometry-calculator\/triangle-perimeter-calculator)[More...](https:\/\/www.symbolab.com\/geometry-calculator)\n\n[AI Chat](https:\/\/www.symbolab.com\/ai-chat)\n\n[Tools](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38145)\n\n[Notebook](https:\/\/www.symbolab.com\/notebook)\n\n[Groups](https:\/\/www.symbolab.com\/groups)\n\n[Cheat Sheets](https:\/\/www.symbolab.com\/cheat-sheets)\n\n[Worksheets](https:\/\/www.symbolab.com\/worksheets\/Pre-Algebra)\n\n[Practice](https:\/\/www.symbolab.com\/practice)\n\n[Verify](https:\/\/www.symbolab.com\/verify)\n\nen\n\nEnglish\n\nEspañol\n\nPortuguês\n\nFrançais\n\nDeutsch\n\nItaliano\n\nРусский\n\n中文(简体)\n\n한국어\n\n日本語\n\nTiếng Việt\n\nעברית\n\nالعربية\n\nUpgrade\n\n[Popular Trigonometry](https:\/\/www.symbolab.com\/popular-trigonometry) \\>\n\n# sin(2pi+pi\/2)\n\n- [Pre Algebra](https:\/\/www.symbolab.com\/solver\/pre-algebra-calculator)\n- [Algebra](https:\/\/www.symbolab.com\/solver\/algebra-calculator)\n- [Pre Calculus](https:\/\/www.symbolab.com\/solver\/pre-calculus-calculator)\n- [Calculus](https:\/\/www.symbolab.com\/solver\/calculus-calculator)\n- [Functions](https:\/\/www.symbolab.com\/solver\/functions-line-calculator)\n- [Linear Algebra](https:\/\/www.symbolab.com\/solver\/linear-algebra-calculator)\n- [Trigonometry](https:\/\/www.symbolab.com\/solver\/trigonometry-calculator)\n- [Statistics](https:\/\/www.symbolab.com\/solver\/statistics-calculator)\n- [Physics](https:\/\/www.symbolab.com\/solver\/physics-calculator)\n- [Chemistry](https:\/\/www.symbolab.com\/solver\/chemistry-calculator)\n- [Finance](https:\/\/www.symbolab.com\/solver\/finance-calculator)\n- [Economics](https:\/\/www.symbolab.com\/solver\/economics-calculator)\n- [Conversions](https:\/\/www.symbolab.com\/solver\/conversion-calculator)\n\n## Solution\nsin(2π\\+2π)\n\n## Solution\n1\n\nHide Steps\n\nSolution steps\n\nsin(2π\\+2π)\n\nSimplify:2π\\+2π\\=25π\n\n2π\\+2π\n\nConvert element to fraction: 2π\\=22π2\\=22π2\\+2π\n\nSince the denominators are equal, combine the fractions: ca±cb\\=ca±b\\=22π2\\+π\n\n2π2\\+π\\=5π\n\n2π2\\+π\n\nMultiply the numbers: 2⋅2\\=4\\=4π\\+π\n\nAdd similar elements: 4π\\+π\\=5π\\=5π\n\n\\=25π\n\n\\=sin(25π)\n\nsin(25π)\\=sin(2π)\n\nsin(25π)\n\nRewrite 25π as 2π\\+2π\\=sin(2π\\+2π)\n\nApply the periodicity of sin: sin(x\\+2π)\\=sin(x)sin(2π\\+2π)\\=sin(2π)\\=sin(2π)\n\n\\=sin(2π)\n\nUse the following trivial identity:sin(2π)\\=1\n\nsin(2π)\n\nsin(x) periodicity table with 2πn cycle:\n\nx06π4π3π2π32π43π65π\n\nsin(x)021\n\n2\n\n2\n\n\n\n\n\n2\n\n3\n\n\n\n\n\n1\n\n2\n\n3\n\n\n\n\n\n2\n\n2\n\n\n\n\n\n21\n\n\n\nxπ67π45π34π23π35π47π611π\n\nsin(x)0−21\n\n−\n\n2\n\n2\n\n\n\n\n\n−\n\n2\n\n3\n\n\n\n\n\n−1\n\n−\n\n2\n\n3\n\n\n\n\n\n−\n\n2\n\n2\n\n\n\n\n\n−21\n\n\n\n\n\n\\=1\n\n\\=1\n\nEnter your problem\n\n## Popular Examples\n[67sin(45)](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38147)[67sin(45∘)](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38147)[\\-2sin(30)](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38148)[−2sin(30∘)](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38148)[cos(-sqrt(3))](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38149)\n\n[cos (− 3  )](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38149)\n\n[35tan(0)-15.022sec^2(0)+1](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38151)[35tan(0)−15\\.022sec2(0)\\+1](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38151)[sqrt(2)cos(-pi\/2)+pi\/2](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38155)\n\n[2  cos(−2π)+ 2π](https:\/\/www.symbolab.com\/popular-trigonometry\/trigonometry-38155)\n\n## Frequently Asked Questions (FAQ)\n- ### What is the value of sin(2pi+pi\/2) ?\n  The value of sin(2pi+pi\/2) is 1\n\nStudy Tools[AI Math Solver](https:\/\/www.symbolab.com\/)[AI Chat](https:\/\/www.symbolab.com\/ai-chat)[Popular Problems](https:\/\/www.symbolab.com\/popular-algebra)[Worksheets](https:\/\/www.symbolab.com\/worksheets\/Pre-Algebra)[Study Guides](https:\/\/www.symbolab.com\/study-guides)[Practice](https:\/\/www.symbolab.com\/practice)[Cheat Sheets](https:\/\/www.symbolab.com\/cheat-sheets)[Calculators](https:\/\/www.symbolab.com\/calculators)[Graphing Calculator](https:\/\/www.symbolab.com\/graphing-calculator)[Geometry Calculator](https:\/\/www.symbolab.com\/geometry-calculator)[Verify Solution](https:\/\/www.symbolab.com\/verify)\n\nApps[Symbolab App (Android)](https:\/\/play.google.com\/store\/apps\/details?id=com.devsense.symbolab)[Graphing Calculator (Android)](https:\/\/play.google.com\/store\/apps\/details?id=com.symbolab.graphingcalculator)[Practice (Android)](https:\/\/play.google.com\/store\/apps\/details?id=com.symbolab.practice)[Symbolab App (iOS)](https:\/\/apps.apple.com\/us\/app\/id876942533)[Graphing Calculator (iOS)](https:\/\/apps.apple.com\/us\/app\/id1435182798)[Practice (iOS)](https:\/\/apps.apple.com\/us\/app\/id1469186281)[Chrome Extension](https:\/\/chromewebstore.google.com\/detail\/mgfcnnpakbfcefgphceolkjldjfpieff)\n\nCompany[About Symbolab](https:\/\/www.symbolab.com\/about)[Blog](https:\/\/blog.symbolab.com\/)[Help](https:\/\/www.symbolab.com\/help)\n\nContact Us\n\nLegal[Privacy](https:\/\/www.symbolab.com\/privacy-policy)[Service Terms](https:\/\/www.symbolab.com\/terms-of-use)[Cookie Policy](https:\/\/www.symbolab.com\/cookie-policy)Cookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal Resources[Learneo Legal Center](https:\/\/learneo.com\/legal)\n\nFeedback\n\nSocial Media\n\nSymbolab, a Learneo, Inc. business\n\n© Learneo, Inc. 2024","attrs_readable_markdown":"## Solution\n## Solution\nSolution steps\n\nSimplify:\n\nConvert element to fraction:\n\nSince the denominators are equal, combine the fractions:\n\nMultiply the numbers:\n\nAdd similar elements:\n\nRewrite  as\n\nApply the periodicity of :\n\nUse the following trivial identity:\n\nperiodicity table with  cycle:\n## Popular Examples\n## Frequently Asked Questions (FAQ)\n- ### What is the value of sin(2pi+pi\/2) ?\n  The value of sin(2pi+pi\/2) is 1","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 month 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`	1.6 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.symbolab.com/popular-trigonometry/trigonometry-38145
Last Crawled	2026-02-23 05:29:06 (1 month ago)
First Indexed	2025-04-21 09:36:45 (11 months ago)
HTTP Status Code	200
Meta Title	sin(2pi+pi/2)
Meta Description	Detailed step by step solution for sin(2pi+pi/2)
Meta Canonical	null
Boilerpipe Text	Solution Solution Solution steps Simplify: Convert element to fraction: Since the denominators are equal, combine the fractions: Multiply the numbers: Add similar elements: Rewrite as Apply the periodicity of : Use the following trivial identity: periodicity table with cycle: Popular Examples Frequently Asked Questions (FAQ) What is the value of sin(2pi+pi/2) ? The value of sin(2pi+pi/2) is 1
Markdown	[Solutions](https://www.symbolab.com/solver) [Integral Calculator](https://www.symbolab.com/solver/integral-calculator)[Derivative Calculator](https://www.symbolab.com/solver/derivative-calculator)[Algebra Calculator](https://www.symbolab.com/solver/algebra-calculator)[Matrix Calculator](https://www.symbolab.com/solver/matrix-calculator)[More...](https://www.symbolab.com/solver) [Graphing](https://www.symbolab.com/graphing-calculator) [Line Graph Calculator](https://www.symbolab.com/graphing-calculator/line)[Exponential Graph Calculator](https://www.symbolab.com/graphing-calculator/exponential-graph)[Quadratic Graph Calculator](https://www.symbolab.com/graphing-calculator/quadratic-graph)[Sin graph Calculator](https://www.symbolab.com/graphing-calculator/graph-of-sin)[More...](https://www.symbolab.com/graphing-calculator) [Calculators](https://www.symbolab.com/calculators) [BMI Calculator](https://www.symbolab.com/calculator/fitness/bmi)[Compound Interest Calculator](https://www.symbolab.com/calculator/finance/compound_interest_rate)[Percentage Calculator](https://www.symbolab.com/calculator/math/percentage)[Acceleration Calculator](https://www.symbolab.com/calculator/physics/acceleration)[More...](https://www.symbolab.com/calculators) [Geometry](https://www.symbolab.com/geometry-calculator) [Pythagorean Theorem Calculator](https://www.symbolab.com/geometry-calculator/pythagorean-theorem-calculator)[Circle Area Calculator](https://www.symbolab.com/geometry-calculator/circle-area-diameter-calculator)[Isosceles Triangle Calculator](https://www.symbolab.com/geometry-calculator/isosceles-triangle-prove-angles-calculator)[Triangles Calculator](https://www.symbolab.com/geometry-calculator/triangle-perimeter-calculator)[More...](https://www.symbolab.com/geometry-calculator) [AI Chat](https://www.symbolab.com/ai-chat) [Tools](https://www.symbolab.com/popular-trigonometry/trigonometry-38145) [Notebook](https://www.symbolab.com/notebook) [Groups](https://www.symbolab.com/groups) [Cheat Sheets](https://www.symbolab.com/cheat-sheets) [Worksheets](https://www.symbolab.com/worksheets/Pre-Algebra) [Practice](https://www.symbolab.com/practice) [Verify](https://www.symbolab.com/verify) en English Español Português Français Deutsch Italiano Русский 中文(简体) 한국어 日本語 Tiếng Việt עברית العربية Upgrade [Popular Trigonometry](https://www.symbolab.com/popular-trigonometry) \> # sin(2pi+pi/2) - [Pre Algebra](https://www.symbolab.com/solver/pre-algebra-calculator) - [Algebra](https://www.symbolab.com/solver/algebra-calculator) - [Pre Calculus](https://www.symbolab.com/solver/pre-calculus-calculator) - [Calculus](https://www.symbolab.com/solver/calculus-calculator) - [Functions](https://www.symbolab.com/solver/functions-line-calculator) - [Linear Algebra](https://www.symbolab.com/solver/linear-algebra-calculator) - [Trigonometry](https://www.symbolab.com/solver/trigonometry-calculator) - [Statistics](https://www.symbolab.com/solver/statistics-calculator) - [Physics](https://www.symbolab.com/solver/physics-calculator) - [Chemistry](https://www.symbolab.com/solver/chemistry-calculator) - [Finance](https://www.symbolab.com/solver/finance-calculator) - [Economics](https://www.symbolab.com/solver/economics-calculator) - [Conversions](https://www.symbolab.com/solver/conversion-calculator) ## Solution sin(2π\+2π) ## Solution 1 Hide Steps Solution steps sin(2π\+2π) Simplify:2π\+2π\=25π 2π\+2π Convert element to fraction: 2π\=22π2\=22π2\+2π Since the denominators are equal, combine the fractions: ca±cb\=ca±b\=22π2\+π 2π2\+π\=5π 2π2\+π Multiply the numbers: 2⋅2\=4\=4π\+π Add similar elements: 4π\+π\=5π\=5π \=25π \=sin(25π) sin(25π)\=sin(2π) sin(25π) Rewrite 25π as 2π\+2π\=sin(2π\+2π) Apply the periodicity of sin: sin(x\+2π)\=sin(x)sin(2π\+2π)\=sin(2π)\=sin(2π) \=sin(2π) Use the following trivial identity:sin(2π)\=1 sin(2π) sin(x) periodicity table with 2πn cycle: x06π4π3π2π32π43π65π sin(x)021 2 2 2 3 1 2 3 2 2 21 xπ67π45π34π23π35π47π611π sin(x)0−21 − 2 2 − 2 3 −1 − 2 3 − 2 2 −21 \=1 \=1 Enter your problem ## Popular Examples [67sin(45)](https://www.symbolab.com/popular-trigonometry/trigonometry-38147)[67sin(45∘)](https://www.symbolab.com/popular-trigonometry/trigonometry-38147)[\-2sin(30)](https://www.symbolab.com/popular-trigonometry/trigonometry-38148)[−2sin(30∘)](https://www.symbolab.com/popular-trigonometry/trigonometry-38148)[cos(-sqrt(3))](https://www.symbolab.com/popular-trigonometry/trigonometry-38149) [cos (− 3 )](https://www.symbolab.com/popular-trigonometry/trigonometry-38149) [35tan(0)-15.022sec^2(0)+1](https://www.symbolab.com/popular-trigonometry/trigonometry-38151)[35tan(0)−15\.022sec2(0)\+1](https://www.symbolab.com/popular-trigonometry/trigonometry-38151)[sqrt(2)cos(-pi/2)+pi/2](https://www.symbolab.com/popular-trigonometry/trigonometry-38155) [2 cos(−2π)+ 2π](https://www.symbolab.com/popular-trigonometry/trigonometry-38155) ## Frequently Asked Questions (FAQ) - ### What is the value of sin(2pi+pi/2) ? The value of sin(2pi+pi/2) is 1 Study Tools[AI Math Solver](https://www.symbolab.com/)[AI Chat](https://www.symbolab.com/ai-chat)[Popular Problems](https://www.symbolab.com/popular-algebra)[Worksheets](https://www.symbolab.com/worksheets/Pre-Algebra)[Study Guides](https://www.symbolab.com/study-guides)[Practice](https://www.symbolab.com/practice)[Cheat Sheets](https://www.symbolab.com/cheat-sheets)[Calculators](https://www.symbolab.com/calculators)[Graphing Calculator](https://www.symbolab.com/graphing-calculator)[Geometry Calculator](https://www.symbolab.com/geometry-calculator)[Verify Solution](https://www.symbolab.com/verify) Apps[Symbolab App (Android)](https://play.google.com/store/apps/details?id=com.devsense.symbolab)[Graphing Calculator (Android)](https://play.google.com/store/apps/details?id=com.symbolab.graphingcalculator)[Practice (Android)](https://play.google.com/store/apps/details?id=com.symbolab.practice)[Symbolab App (iOS)](https://apps.apple.com/us/app/id876942533)[Graphing Calculator (iOS)](https://apps.apple.com/us/app/id1435182798)[Practice (iOS)](https://apps.apple.com/us/app/id1469186281)[Chrome Extension](https://chromewebstore.google.com/detail/mgfcnnpakbfcefgphceolkjldjfpieff) Company[About Symbolab](https://www.symbolab.com/about)[Blog](https://blog.symbolab.com/)[Help](https://www.symbolab.com/help) Contact Us Legal[Privacy](https://www.symbolab.com/privacy-policy)[Service Terms](https://www.symbolab.com/terms-of-use)[Cookie Policy](https://www.symbolab.com/cookie-policy)Cookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal Resources[Learneo Legal Center](https://learneo.com/legal) Feedback Social Media Symbolab, a Learneo, Inc. business © Learneo, Inc. 2024
Readable Markdown	## Solution ## Solution Solution steps Simplify: Convert element to fraction: Since the denominators are equal, combine the fractions: Multiply the numbers: Add similar elements: Rewrite as Apply the periodicity of : Use the following trivial identity: periodicity table with cycle: ## Popular Examples ## Frequently Asked Questions (FAQ) - ### What is the value of sin(2pi+pi/2) ? The value of sin(2pi+pi/2) is 1
Shard	2 (laksa)
Root Hash	1977249391401099202
Unparsed URL	com,symbolab!www,/popular-trigonometry/trigonometry-38145 s443