[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523536-105":59,"doc-detail-523536-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","trig-ratios-of-any-angle-use-a-calculator-to-find-each","Trig Ratios of Any Angle - Use a calculator to find each","","Trig Ratios of Any Angle worksheet for Infinite Precalculus focuses on practicing trigonometric functions. Students use a calculator for selected problems and round results to the nearest ten-thousandth, then find exact values of trigonometric functions. Additional items use a given point on the terminal side of an angle to determine specified function values, followed by computing missing trigonometric ratios not previously provided, including cot, tan, sin, cos, csc, and sec.",{"@graph":69,"@context":123},[70,84,106],{"@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/trig-ratios-of-any-angle-use-a-calculator-to-find-each/523536/",{"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/trig-ratios-of-any-angle-use-a-calculator-to-find-each/523536.png","ImageObject",300,407,{"name":92,"@type":93},"LangkahRina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the rounding requirement for calculator problems?","Question",{"text":113,"@type":114},"Answers are rounded to the nearest ten-thousandth.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do problems using a given point on the terminal side work?",{"text":118,"@type":114},"They use the provided coordinates on the terminal side of an angle to determine the indicated trigonometric function value.",{"name":120,"@type":111,"acceptedAnswer":121},"Which trigonometric functions appear in the worksheet?",{"text":122,"@type":114},"The worksheet includes sin, cos, tan, cot, csc, and sec across different problem types.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523536,1791506018,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},962090893776,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Precalculus Name   \nTrig Ratios of Any Angle Date  Period   \nUse a calculator to find each. Round your answers to the nearest ten-thousandth.  \n1) sec 􀀐􀀔􀀜􀀘° 2) cos ~~ ~~􀀔􀀖􀀔~~ ~~  \nFind the exact value of each trigonometric function.  \n5) tan 􀁔  \n y  \n6) cos 􀁔  \n􀀕􀀔􀁓 􀀐  \n􀀗  \nx  \n 􀀖􀁓   \n􀀐  \n􀀕  \n7) cos ~~ ~~􀀔~~ ~~􀀚􀀗􀁓~~ ~~ 8) cos 􀀐􀀛􀀔􀀓°  \n9) cos ~~ ~~􀀜􀁓􀀗~~ ~~ 10) sin ~~ ~~􀀔~~ ~~􀀘􀀗􀁓~~ ~~  \n11) sin 􀀐 ~~ ~~􀀜􀁓􀀗~~ ~~ 12) tan 􀀐􀀜􀀗􀀘°  \n13) sin 􀀐􀀚􀀕􀀓° 14) cos 􀀗􀁓􀀖~~ ~~  \ny  \nx  \nUse the given point on the terminal side of angle 􀁔 to find the value of the trigonometric function indicated.  \n15) sin 􀁔  \ny  \n 􀀔􀀘 , 􀀚)  \nx  \n17) sec 􀁔  \n( 􀀐 􀀔􀀘 , 􀀚)   \n| |  |\n| --- | --- |\n|  |  |\n\nx  \n16) cot 􀁔  \ny  \nx  \n(􀀔􀀚 , 􀀐􀀔􀀖)  \n18) sin 􀁔  \n| |  |\n| --- | --- |\n|  |  |\n\nx  \nFind the exact values of the five trigonometric ratios not given.  \n19) cot 􀁔 􀀠 􀀐 􀀚 and sin 􀁔 􀀡 􀀓 20) cos 􀁔 􀀠 􀀕􀀕􀀗􀀘 and sin 􀁔 􀀟 􀀓  \n􀀕 􀀘 22) tan 􀁔 􀀠 􀀐􀀘 and cos 􀁔 􀀡 􀀓 21) sin 􀁔 􀀠 􀀐  􀀘  and cos 􀁔 􀀡 􀀓  \n23) csc 􀁔 􀀠 ~~ ~~􀀖~~ ~~􀀚~~ ~~ and cos 􀁔 􀀟 􀀓 24) sec 􀁔 􀀠 􀀕 and sin 􀁔 􀀟 􀀓  \nKuta Software-Infinite Precalculus Name   \nTrig Ratios of Any Angle Date  Period   \nUse a calculator to find each. Round your answers to the nearest ten-thousandth.  \n1) sec 􀀐􀀔􀀜􀀘° 2) cos  􀀔􀀖􀁓   \n-1.0353 􀀔􀀕  \n-0.9659  \nFind the exact value of each trigonometric function.  \n􀀔   \n􀀕  \n􀀕  \n􀀐 􀀕  \n5) tan 􀁔  \n􀀕􀀔􀁓 􀀐  \n􀀗  \n􀀐􀀔  \n7) cos ~~ ~~􀀔~~ ~~􀀚􀀗􀁓~~ ~~  \n􀀕  \n􀀕  \n9) cos ~~ ~~􀀜􀁓􀀗~~ ~~  \n􀀕  \n􀀕  \ny  \nx  \n11) sin 􀀐 ~~ ~~􀀜􀁓􀀗~~ ~~  \n􀀕  \n􀀐  \n􀀕  \n13) sin 􀀐􀀚􀀕􀀓°  \n􀀓  \n6) cos 􀁔   \ny  \nx  \n 􀀖􀁓 􀀐  \n􀀕  \n􀀓  \n8) cos 􀀐􀀛􀀔􀀓°  \n􀀓  \n10) sin ~~ ~~􀀔~~ ~~􀀘􀀗􀁓~~ ~~  \n􀀕  \n􀀐  \n􀀕  \n12) tan 􀀐􀀜􀀗􀀘°  \n􀀐􀀔  \n14) cos 􀀗􀁓􀀖~~ ~~  \n 􀀔 􀀐  \n􀀕  \nUse the given point on the terminal side of angle 􀁔 to find the value of the trigonometric function  \nFind the exact values of the five trigonometric ratios not given.  \n19) cot 􀁔 􀀠 􀀐 􀀚 and sin 􀁔 􀀡 􀀓 20) cos 􀁔 􀀠 􀀕􀀗 and sin 􀁔 􀀟 􀀓  \nsin 􀁔 􀀠  􀀕 , cos 􀁔 􀀠 􀀐  􀀔􀀗 , tan 􀁔 􀀠 􀀐    􀀕􀀘  \ncsc 􀁔 􀀠 􀀕􀀗 􀀕 , sec 􀁔 􀀠 􀀐  􀀕􀀗 􀀔􀀗  􀀚 sin 􀁔 􀀠 􀀐 ~~ ~~􀀚􀀕􀀘~~ ~~, tan 􀁔 􀀠 􀀐 ~~ ~~􀀚􀀕􀀗~~ ~~  \n􀀚 csc 􀁔 􀀠 􀀐 ~~ ~~􀀕􀀘􀀚~~ ~~, sec 􀁔 􀀠 􀀕􀀕􀀘􀀗~~ ~~ , cot 􀁔 􀀠 􀀐 ~~ ~~􀀕􀀗􀀚~~ ~~  \n􀀕 􀀘 22) tan 􀁔 􀀠 􀀐􀀘 and cos 􀁔 􀀡 􀀓  \n21) sin 􀁔 􀀠 􀀐 ~~ ~~ and cos 􀁔 􀀡 􀀓  \n􀀘  􀀘 􀀕􀀙   􀀕􀀙   \nsin 􀁔 􀀠 􀀐 􀀕􀀙 , cos 􀁔 􀀠 􀀕􀀙  \ncos 􀁔 􀀠~~ ~~􀀘􀀘~~ ~~, tan 􀁔 􀀠 􀀐􀀕 csc 􀁔 􀀠 􀀐  􀀕􀀙 , sec 􀁔 􀀠 􀀕􀀙 , cot 􀁔 􀀠 􀀐  􀀔   \n􀀘 􀀔 􀀘 􀀘 csc 􀁔 􀀠 􀀐 􀀕 , sec 􀁔 􀀠 􀀘 , cot 􀁔 􀀠 􀀐  􀀕   \n􀀖 􀀚 24) sec 􀁔 􀀠 􀀕 and sin 􀁔 􀀟 􀀓  \n23) csc 􀁔 􀀠 ~~ ~~ and cos 􀁔 􀀟 􀀓  \n􀀚 sin 􀁔 􀀠 􀀐  􀀖  􀁔 􀀠  􀀔 , tan 􀁔 􀀠 􀀐 􀀖  \n   􀀕   􀀔􀀗  􀀕 , cos 􀀕  \nsin 􀁔 􀀠 􀀖􀀚 , cos 􀁔 􀀠 􀀐 􀀖 , tan 􀁔 􀀠 􀀐 􀀕 csc 􀁔 􀀠 􀀐  􀀕 􀀖 , cot 􀁔 􀀠 􀀐  􀀖   \nsec 􀁔 􀀠 􀀐 ~~ ~~􀀖~~ ~~􀀕~~ ~~􀀕~~ ~~, cot 􀁔 􀀠 􀀐 ~~ ~~􀀔􀀗􀀚~~ ~~ 􀀖 􀀖  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCait2bpTrzvy3g","https://ap.wps.com/l/cbCait2bpTrzvy3g","pdf",50216,"English","# Use a calculator to find trig ratios\n# Find exact values\n# Use a given point on the terminal side\n# Find missing trigonometric ratios","[{\"question\":\"What is the rounding requirement for calculator problems?\",\"answer\":\"Answers are rounded to the nearest ten-thousandth.\"},{\"question\":\"How do problems using a given point on the terminal side work?\",\"answer\":\"They use the provided coordinates on the terminal side of an angle to determine the indicated trigonometric function value.\"},{\"question\":\"Which trigonometric functions appear in the worksheet?\",\"answer\":\"The worksheet includes sin, cos, tan, cot, csc, and sec across different problem types.\"}]","Trig Ratios of Any Angle - Use a calculator to find each | PDF",1791426968]