[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572175-105":53,"doc-detail-572175-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","trigonometry-basics-cheat-sheet","Trigonometry Basics - Cheat Sheet","","This comprehensive trigonometry cheat sheet provides a structured reference for fundamental mathematical concepts, including unit circle definitions, trigonometric functions, and essential identities. The document covers key topics such as Pythagorean identities, reciprocal identities, quotient identities, and odd/even function properties. Additionally, it includes geometric formulas for arc length, sector area, and speed calculations. Designed as a quick-reference guide, it serves as an invaluable resource for students and educators seeking to verify trigonometric relationships and angle properties efficiently and accurately.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":51,"@type":70,"position":76},"https://docshare.wps.com/template/general/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/trigonometry-basics-cheat-sheet/572175/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/trigonometry-basics-cheat-sheet/572175.png","ImageObject",442,249,{"name":88,"@type":89},"Rowan","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-22","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",8,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What are the three categories of trigonometric identities listed?","Question",{"text":109,"@type":110},"The document outlines Reciprocal Identities, Pythagorean Identities, and Quotient Identities.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"How is the area of a sector calculated in this guide?",{"text":114,"@type":110},"The area of a sector is defined by the formula A = 1/2 r²θ, where r represents the radius and θ is the angle in radians.",{"name":116,"@type":107,"acceptedAnswer":117},"What is the difference between odd and even trigonometric functions?",{"text":118,"@type":110},"Odd functions, such as sin, csc, tan, and cot, satisfy the property f(-t) = -f(t), whereas even functions like cos and sec satisfy f(-t) = f(t).","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},572175,1792009047,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":50,"category_name":51,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":9,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":4},1099514067415,"https://ap-avatar.wpscdn.com/avatar/100002539d78ffe74a7?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779092875211072502","Trigonometry Basics Cheat Sheet  \n[by](by dontwanttofail via cheatography.com/207014/cs/44314/)[ dontwanttofail](by dontwanttofail via cheatography.com/207014/cs/44314/)[ via](by dontwanttofail via cheatography.com/207014/cs/44314/)[ cheatography.com/207014/cs/44314/](by dontwanttofail via cheatography.com/207014/cs/44314/)  \nSign in quadrants Unit circle trig functions  \nSin θ=y/r Csc θ=r/y  \nCos θ=x/r Sec θ=r/x  \nTan θ=y/x Cot θ=x/y  \nDegrees  \nAcute Less than 90  \nRight 90  \nObtuse More than 90 , less than 180  \nStraight 180  \nUnit circle  \nSohCahToa Trig Functions Sinθ=opp/hyp Cscθ=hyp/opp Cosθ=adj/hyp Secθ=hyp/adj Tanθ=adj/opp Cotθ=app/adj  \nPythagorean Theory  \nFundamental identities  \nReciprocal  \nIdentities  \nPythag‐  \norean  \nIdentities  \nQuotient  \nIdentities  \nsinθ= 1/csc cscθ= 1/sin  \ncosθ= 1/sec secθ= 1/cos  \ntanθ= 1/cot cotθ= 1/tan  \n2 2 sin θ + cos θ= 1  \n2 2 1+tan θ=sec θ  \n2 2 1+cot θ=csc θ  \ntanθ=sinθ/cosθ  \ncotθ=cosθ/sinθ  \nOdd and Even Functions  \nOdd  \nsin(-t)=-sin tcsc(-t)=-csc ttan(-t)=-tan tcot(-t)=-cot t  \nEven  \ncos(-t)=cos t sec(-t)=sec t  \nFormulas  \nArc length  \nArea of a sector Linear speed Angular speed  \nR  \nS=rθ  \n2 A= 1/2r θ  \nV=s/t=rθ/t=rw  \nw=θ/t  \nr=√x2 + y2  \nBy dontwanttofail  \n[cheatography.com/dontwanttofail/](cheatography.com/dontwanttofail/)  \nPublished 5th September, 2024. Last updated 5th September, 2024. Page 1 of 1.  \nSponsored by ApolloPad.com Everyone has a novel in them. Finish Yours!  \n[https://apollopad.com](https://apollopad.com)","cbCaig3mQnT5l67l","https://ap.wps.com/l/cbCaig3mQnT5l67l","pdf",232892,"English","# Trigonometry Foundations\n## Unit Circle and Functions\n## Degrees and Angles\n## Identities\n## Geometric Formulas","[{\"question\":\"What are the three categories of trigonometric identities listed?\",\"answer\":\"The document outlines Reciprocal Identities, Pythagorean Identities, and Quotient Identities.\"},{\"question\":\"How is the area of a sector calculated in this guide?\",\"answer\":\"The area of a sector is defined by the formula A = 1/2 r²θ, where r represents the radius and θ is the angle in radians.\"},{\"question\":\"What is the difference between odd and even trigonometric functions?\",\"answer\":\"Odd functions, such as sin, csc, tan, and cot, satisfy the property f(-t) = -f(t), whereas even functions like cos and sec satisfy f(-t) = f(t).\"}]","Trigonometry Basics - Cheat Sheet | PDF",1791925930]