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INDEXABLE
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FilterStatusConditionDetails
HTTP statusPASSdownload_http_code = 200HTTP 200
Age cutoffPASSdownload_stamp > now() - 6 MONTH0.3 months ago
History dropPASSisNull(history_drop_reason)No drop reason
Spam/banPASSfh_dont_index != 1 AND ml_spam_score = 0ml_spam_score=0
CanonicalPASSmeta_canonical IS NULL OR = '' OR = src_unparsedNot set

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URLhttps://www.symbolab.com/popular-trigonometry/trigonometry-37570
Last Crawled2026-04-09 07:24:43 (8 days ago)
First Indexed2025-04-18 22:54:58 (12 months ago)
HTTP Status Code200
Meta Titlesin(2pi)cos(pi)
Meta DescriptionDetailed step by step solution for sin(2pi)cos(pi)
Meta Canonicalnull
Boilerpipe Text
Solution Solution Solution steps Rewrite using trig identities: Rewrite as Apply the periodicity of : Use the following trivial identity: periodicity table with cycle: Use the following trivial identity: periodicity table with cycle: Simplify Popular Examples -5cot(pi/2) (92)/(tan(12)) -2cos(-pi/4) (cos(50))/(cos(30)) (1+cos(20)-sin(20))/(1-cos(20)-sin(20)) Frequently Asked Questions (FAQ) What is the value of sin(2pi)cos(pi) ? The value of sin(2pi)cos(pi) is 0
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[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(2ฯ€)cos(ฯ€) ## Solution 0 Hide Steps Solution steps sin(2ฯ€)cos(ฯ€) Rewrite using trig identities:sin(2ฯ€)\=0 sin(2ฯ€) sin(2ฯ€)\=sin(0) sin(2ฯ€) Rewrite 2ฯ€ as 2ฯ€\+0\=sin(2ฯ€\+0) Apply the periodicity of sin: sin(x\+2ฯ€)\=sin(x)sin(2ฯ€\+0)\=sin(0)\=sin(0) \=sin(0) Use the following trivial identity:sin(0)\=0 sin(0) sin(x) periodicity table with 2ฯ€n cycle: x06ฯ€โ€‹4ฯ€โ€‹3ฯ€โ€‹2ฯ€โ€‹32ฯ€โ€‹43ฯ€โ€‹65ฯ€โ€‹โ€‹ sin(x)021โ€‹ 2 2 โ€‹ โ€‹ 2 3 โ€‹ โ€‹ 1 2 3 โ€‹ โ€‹ 2 2 โ€‹ โ€‹ 21โ€‹ โ€‹ xฯ€67ฯ€โ€‹45ฯ€โ€‹34ฯ€โ€‹23ฯ€โ€‹35ฯ€โ€‹47ฯ€โ€‹611ฯ€โ€‹โ€‹ sin(x)0โˆ’21โ€‹ โˆ’ 2 2 โ€‹ โ€‹ โˆ’ 2 3 โ€‹ โ€‹ โˆ’1 โˆ’ 2 3 โ€‹ โ€‹ โˆ’ 2 2 โ€‹ โ€‹ โˆ’21โ€‹ โ€‹ โ€‹ \=0 \=0 Use the following trivial identity:cos(ฯ€)\=(โˆ’1) cos(ฯ€) cos(x) periodicity table with 2ฯ€n cycle: x06ฯ€โ€‹4ฯ€โ€‹3ฯ€โ€‹2ฯ€โ€‹32ฯ€โ€‹43ฯ€โ€‹65ฯ€โ€‹โ€‹ cos(x)1 2 3 โ€‹ โ€‹ 2 2 โ€‹ โ€‹ 21โ€‹0โˆ’21โ€‹ โˆ’ 2 2 โ€‹ โ€‹ โˆ’ 2 3 โ€‹ โ€‹ โ€‹ xฯ€67ฯ€โ€‹45ฯ€โ€‹34ฯ€โ€‹23ฯ€โ€‹35ฯ€โ€‹47ฯ€โ€‹611ฯ€โ€‹โ€‹ cos(x)โˆ’1 โˆ’ 2 3 โ€‹ โ€‹ โˆ’ 2 2 โ€‹ โ€‹ โˆ’21โ€‹021โ€‹ 2 2 โ€‹ โ€‹ 2 3 โ€‹ โ€‹ โ€‹ โ€‹ \=(โˆ’1) \=0โ‹…(โˆ’1) Simplify\=0 Enter your problem ## Popular Examples [\-5cot(pi/2)](https://www.symbolab.com/popular-trigonometry/trigonometry-37573)[โˆ’5cot(2ฯ€โ€‹)](https://www.symbolab.com/popular-trigonometry/trigonometry-37573)[(92)/(tan(12))](https://www.symbolab.com/popular-trigonometry/trigonometry-37575)[tan(12โˆ˜)92โ€‹](https://www.symbolab.com/popular-trigonometry/trigonometry-37575)[\-2cos(-pi/4)](https://www.symbolab.com/popular-trigonometry/trigonometry-37576)[โˆ’2cos(โˆ’4ฯ€โ€‹)](https://www.symbolab.com/popular-trigonometry/trigonometry-37576)[(cos(50))/(cos(30))](https://www.symbolab.com/popular-trigonometry/trigonometry-37577)[cos(30โˆ˜)cos(50โˆ˜)โ€‹](https://www.symbolab.com/popular-trigonometry/trigonometry-37577)[(1+cos(20)-sin(20))/(1-cos(20)-sin(20))](https://www.symbolab.com/popular-trigonometry/trigonometry-37579)[1โˆ’cos(20โˆ˜)โˆ’sin(20โˆ˜)1\+cos(20โˆ˜)โˆ’sin(20โˆ˜)โ€‹](https://www.symbolab.com/popular-trigonometry/trigonometry-37579) ## Frequently Asked Questions (FAQ) - ### What is the value of sin(2pi)cos(pi) ? The value of sin(2pi)cos(pi) is 0 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 ยฉ Learneo, Inc. 2024
Readable Markdown
## Solution ## Solution Solution steps Rewrite using trig identities: Rewrite as Apply the periodicity of : Use the following trivial identity: periodicity table with cycle: Use the following trivial identity: periodicity table with cycle: Simplify ## Popular Examples [\-5cot(pi/2)](https://www.symbolab.com/popular-trigonometry/trigonometry-37573)[(92)/(tan(12))](https://www.symbolab.com/popular-trigonometry/trigonometry-37575)[\-2cos(-pi/4)](https://www.symbolab.com/popular-trigonometry/trigonometry-37576)[(cos(50))/(cos(30))](https://www.symbolab.com/popular-trigonometry/trigonometry-37577)[(1+cos(20)-sin(20))/(1-cos(20)-sin(20))](https://www.symbolab.com/popular-trigonometry/trigonometry-37579) ## Frequently Asked Questions (FAQ) - ### What is the value of sin(2pi)cos(pi) ? The value of sin(2pi)cos(pi) is 0
Shard2 (laksa)
Root Hash1977249391401099202
Unparsed URLcom,symbolab!www,/popular-trigonometry/trigonometry-37570 s443