[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523524-105":59,"doc-detail-523524-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","multiple-angle-identities-use-the-half-angle-identities-to-find-the-exact-value-of-each","Multiple-Angle Identities - Use the half-angle identities to find the exact value of each","","Multiple-Angle Identities worksheet for Infinite Precalculus using half-angle identities to determine exact trigonometric values and to evaluate expressions involving sine, cosine, and tangent. The problems request exact values for several angles, including those given in degrees and related angle forms. Additional items instruct learners to verify trigonometric identities and show step-by-step cancellation and substitution. The set includes both calculation and identity-check exercises spanning multiple question numbers.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/multiple-angle-identities-use-the-half-angle-identities-to-find-the-exact-value-of-each/523524/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/multiple-angle-identities-use-the-half-angle-identities-to-find-the-exact-value-of-each/523524.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What method does the worksheet use to compute the trigonometric answers?","Question",{"text":112,"@type":113},"It instructs students to use half-angle identities to find exact values for sine, cosine, and tangent expressions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of problems are included besides finding exact trig values?",{"text":117,"@type":113},"The worksheet also includes questions that ask students to verify trigonometric identities by simplifying and canceling common factors.",{"name":119,"@type":110,"acceptedAnswer":120},"Which trigonometric functions appear throughout the questions?",{"text":121,"@type":113},"The worksheet focuses on sine, cosine, tangent, and related forms such as cotangent and cosecant in the identity verification steps.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},523524,1791710519,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Precalculus Name   \nMultiple-Angle Identities Date  Period   \nUse the half-angle identities to find the exact value of each.  \n1) sin 􀀕􀀜􀀕􀀑􀀘° 2) sin 􀀖􀀖􀀚􀀑􀀘°  \n3) tan 􀀔􀀓􀀘° 4) cos 􀀔􀀓􀀘°  \n5) cos 􀀔􀀘􀀚􀀑􀀘° 6) cos 􀀖􀀖􀀚􀀑􀀘°  \nFind the exact value of each.  \n7) tan 􀁔 􀀠 ~~ ~~􀀔􀀘􀀛~~ ~~ where 􀀔􀀛􀀓 􀁤 􀁔 􀀟 􀀕􀀚􀀓 8) cos 􀁔 􀀠 􀀐 ~~ ~~􀀕~~ ~~􀀜~~ ~~􀀔􀀗~~ ~~ where 􀀜􀀓 􀁤 􀁔 􀀟 􀀔􀀛􀀓 Find tan 􀀕􀁔 Find sin 􀀕􀁔  \n9) tan 􀁔 􀀠 ~~ ~~􀀗􀀕~~ ~~ where 􀀓 􀁤 􀁔 􀀟 􀀜􀀓 10) tan 􀁔 􀀠 ~~ ~~􀀖~~ ~~􀀖~~ ~~ where 􀀓 􀁤 􀁔 􀀟 􀀜􀀓  \n 􀁔  Find cos 􀀕􀁔 Find cos  \n􀀕  \n11) cos 􀁔 􀀠 ~~ ~~􀀖􀀘~~ ~~ where 􀀕􀀚􀀓 􀁤 􀁔 􀀟 􀀖􀀙􀀓 12) tan 􀁔 􀀠 􀀗􀀖~~ ~~ where 􀀔􀀛􀀓 􀁤 􀁔 􀀟 􀀕􀀚􀀓  \nFind cos 􀀕􀁔  􀁔  \nFind tan  \n􀀕  \nVerify each identity.  \n13) nos 􀀠 􀀕sin x 14) 􀀕~~ ~~sxsosx~~ ~~x 􀀠 tan 􀀕x  \n15) nc􀀕xcxs~~ ~~􀀔x 􀀠 tan 􀀕 xsin 􀀕x  \n16) cot~~ ~~􀀕~~ ~~xi􀀔n􀀎􀀕xcos~~ ~~􀀕x~~)~~ 􀀠 tan 􀀖 x  \nKuta Software-Infinite Precalculus Name   \nMultiple-Angle Identities Date  Period   \nUse the half-angle identities to find the exact value of each.  \n1) sin 􀀕􀀜􀀕􀀑􀀘° 2) sin 􀀖􀀖􀀚􀀑􀀘°  \n􀀕 􀀎 􀀕 􀀕 􀀐 􀀕  \n􀀐  \n􀀕  \n3) tan 􀀔􀀓􀀘°  \n􀀐􀀕 􀀐 􀀖  \n5) cos 􀀔􀀘􀀚􀀑􀀘°  \n􀀕 􀀎 􀀕  \n􀀐  \n􀀕  \n􀀐  \n􀀕  \n4) cos 􀀔􀀓􀀘°  \n􀀕 􀀐 􀀖  \n􀀐  \n􀀕  \n6) cos 􀀖􀀖􀀚􀀑􀀘°  \n􀀕 􀀎 􀀕  \n􀀕  \nFind the exact value of each.  \n7) tan 􀁔 􀀠 ~~ ~~􀀔􀀘􀀛~~ ~~ where 􀀔􀀛􀀓 􀁤 􀁔 􀀟 􀀕􀀚􀀓 Find tan 􀀕􀁔  \n􀀕􀀗􀀓   \n􀀐  \n􀀔􀀙􀀔  \n9) tan 􀁔 􀀠 ~~ ~~􀀗􀀕~~ ~~ where 􀀓 􀁤 􀁔 􀀟 􀀜􀀓􀁔  \nFind cos ~~ ~~  \n􀀕  \n􀀔􀀛 􀀎 􀀔􀀕 􀀕  \n􀀙  \n11) cos 􀁔 􀀠 ~~ ~~􀀖􀀘~~ ~~ where 􀀕􀀚􀀓 􀁤 􀁔 􀀟 􀀖􀀙􀀓 Find cos 􀀕􀁔  \n 􀀚   \n􀀐  \n􀀕􀀘  \n8) cos 􀁔 􀀠 􀀐 ~~ ~~􀀕~~ ~~􀀜~~ ~~􀀔􀀗~~ ~~ where 􀀜􀀓 􀁤 􀁔 􀀟 􀀔􀀛􀀓 Find sin 􀀕􀁔  \n􀀕􀀓 􀀔􀀗  \n􀀐  \n􀀛􀀔  \n10) tan 􀁔 􀀠 ~~ ~~􀀖~~ ~~􀀖~~ ~~ where 􀀓 􀁤 􀁔 􀀟 􀀜􀀓 Find cos 􀀕􀁔  \n 􀀔   \n􀀕  \n12) tan 􀁔 􀀠 􀀗􀀖~~ ~~ where 􀀔􀀛􀀓 􀁤 􀁔 􀀟 􀀕􀀚􀀓  􀁔  \nFind tan  \n􀀕  \n􀀐􀀕  \nVerify each identity.  \n13) nos 􀀠 􀀕sin x  \nnos􀀕xx~~ ~~ Use sin 􀀕x 􀀠 􀀕sin xcos x  \n􀀕sin~~ ~~xcoscoxs~~ ~~x~~ ~~ Cancel common factors  \n􀀕sin x ■  \n15) nc􀀕xcxs~~ ~~􀀔x 􀀠 tan 􀀕 xsin 􀀕x  \nnc􀀕xcxs~~ ~~􀀔x~~ ~~ Use cot􀀕 x 􀀎 􀀔 􀀠 csc􀀕 x  \n􀀕sin xcos x ~~ ~~ Use sin 􀀕x 􀀠 􀀕sin xcos x  \ncot 􀀕 x  \n sin 􀀕x   􀀔   \nUse cot x 􀀠  \ncot 􀀕 x tan x  \ntan 􀀕 xsin 􀀕x ■  \n16) cot~~ ~~􀀕~~ ~~xi􀀔n􀀎􀀕xcos~~ ~~􀀕x~~)~~ 􀀠 tan 􀀖 x  \ncot~~ ~~􀀕~~ ~~xi􀀔n􀀎􀀕xcos~~ ~~􀀕x~~) ~~ Use sin 􀀕x 􀀠 􀀕sin xcos x cot~~ ~~􀀕􀀕~~ ~~xc􀀎oscoxs􀀕x~~) ~~ Use cos 􀀕x 􀀠 􀀕cos􀀕 x 􀀐 􀀔􀀕sin xcos x ~~ ~~ Cancel common factors  \n􀀕 cot 􀀕 xcos􀀕 x  \n14) 􀀕~~ ~~sxsosx~~ ~~x 􀀠 tan 􀀕x  \n􀀕sin xcos x  \nUse sin 􀀕x 􀀠 􀀕sin xcos x cos 􀀕x  \nsc~~ ~~􀀕􀀕xx~~ ~~ Use tan 􀀕x 􀀠 ~~ ~~sc~~ ~~􀀕􀀕xx tan 􀀕x ■  \nta􀀖rexate your own workheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaidWtiKc19vKX","https://ap.wps.com/l/cbCaidWtiKc19vKX","pdf",81980,"English","# Use the half-angle identities to find exact values\n# Find the exact value of each\n# Verify each identity","[{\"question\":\"What method does the worksheet use to compute the trigonometric answers?\",\"answer\":\"It instructs students to use half-angle identities to find exact values for sine, cosine, and tangent expressions.\"},{\"question\":\"What kinds of problems are included besides finding exact trig values?\",\"answer\":\"The worksheet also includes questions that ask students to verify trigonometric identities by simplifying and canceling common factors.\"},{\"question\":\"Which trigonometric functions appear throughout the questions?\",\"answer\":\"The worksheet focuses on sine, cosine, tangent, and related forms such as cotangent and cosecant in the identity verification steps.\"}]","Multiple-Angle Identities - Use the half-angle identities to find the exact value of each | PDF",1791426953]