[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523523-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523523-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","inverse-trig-functions-worksheets","Inverse Trig Functions - Worksheets","","Inverse Trig Functions worksheet from Infinite Precalculus focused on evaluating trigonometric expressions and determining exact values. Problems cover tangent, cosine, sine, cosecant, secant, and combinations with domain/range analysis followed by graph sketching. Additional items ask students to rewrite trigonometric expressions as algebraic expressions, including products involving cotangent and compositions with inverse-trig related transformations. Includes multiple numbered exercises grouped by task type.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/inverse-trig-functions-worksheets/523523/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/inverse-trig-functions-worksheets/523523.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-12","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to do with inverse trig related expressions?","Question",{"text":63,"@type":64},"Students must find exact values for multiple trigonometric expressions and, in separate sections, analyze their domains and ranges and sketch graphs.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which types of functions appear in the problems?",{"text":68,"@type":64},"The worksheet includes tan, cos, sin, csc, and sec, along with expressions involving cotangent in several items.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the problems on domain and range handled?",{"text":72,"@type":64},"After identifying domain and range for each function relation, students sketch the corresponding graph to represent the behavior restricted by those intervals.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523523,1791628834,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Precalculus Inverse Trig Functions  \nName  Date  Period   \nFind the exact value of each expression.  \n1) tan 􀀐􀀔 ( 􀀐 􀀖 ) 2) cos 􀀐􀀔 􀀐~~ ~~􀀕􀀖~~ ~~  \n3) sin 􀀐􀀔 􀀐 ~~ ~~􀀔􀀕~~ ~~ 4) csc 􀀐􀀔 􀀕~~ ~~􀀖~~ ~~􀀖~~ ~~  \nIdentify the domain and range of each. Then sketch the graph.  \n5) y 􀀠 tan 􀀐􀀔 􀀖 x  \n7) y 􀀠 sec 􀀐􀀔 (x 􀀎 􀀔)  \n6) y 􀀠 cos 􀀐􀀔 x 􀀐 􀀕  \n8) y 􀀠 sin 􀀐􀀔   \nFind the exact value of each expression.  \n9) csc 􀀐􀀔 (cos 􀀓) 10) cos sec 􀀐􀀔 􀀕~~ ~~􀀖~~ ~~􀀖~~ ~~  \n11) csc sec 􀀐􀀔 ~~ ~~􀀕􀀙~~ ~~ 12) sin 􀀐􀀔 (sec 􀀓)  \n13) sec cot􀀐􀀔 􀀕~~ ~~􀀕~~ ~~􀀕􀀔~~ ~~􀀔~~ ~~ 14) tan 􀀐􀀔 (sec 􀁓)  \nIdentify the domain and range of each. Then sketch the graph.  \n15) y 􀀠 sin cot 􀀐􀀔 x  \n16) y 􀀠 tan 􀀐􀀔 (cot x)  \nWrite each trigonometric expression as an algebraic expression.  \n17) sin tan 􀀐􀀔 x 18) csc cot􀀐􀀔 x  \n19) sec cot􀀐􀀔 x 20) sec cos􀀐􀀔 x  \nKuta Software-Infinite Precalculus Name   \nInverse Trig Functions Date  Period   \nFind the exact value of each expression.  \n1) tan 􀀐􀀔 ( 􀀐 􀀖 ) 2) cos 􀀐􀀔 􀀐  􀀖   \n 􀁓  􀀕  \n􀀐  \n􀀖  􀀘􀁓   \n􀀙  \n3) sin 􀀐􀀔 􀀐 ~~ ~~􀀔􀀕 􀀐 ~~ ~~~~ ~~ 4) csc 􀀐􀀔 􀀕~~ ~~􀀖~~ ~~􀀖~~ ~~  \n 􀁓   \n􀀖  \nIdentify the domain and range of each. Then sketch the graph.  \n5) y 􀀠 tan 􀀐􀀔 􀀖 x  \nDomain: All reals  \nRange: 􀀐 ~~ ~~~~ ~~ 􀀟 y 􀀟 ~~ ~~  \n7) y 􀀠 sec 􀀐􀀔 (x 􀀎 􀀔)  \nDomain: x 􀁤 􀀐􀀕 or x 􀁴 􀀓  \nRange: 􀀓 􀁤 y 􀁤 􀁓 , y 􀁺 ~~ ~~  \n6) y 􀀠 cos 􀀐􀀔 x 􀀐 􀀕  \nDomain: 􀀐􀀔 􀁤 x 􀁤 􀀔  \nRange: 􀀐􀀕 􀁤 y 􀁤 􀁓 􀀐 􀀕  \n8) y 􀀠 sin 􀀐􀀔   \nDomain: 􀀐􀀖 􀁤 x 􀁤 􀀖  \nRange: 􀀐 ~~ ~~~~ ~~ 􀁤 y 􀁤 ~~ ~~  \nFind the exact value of each expression.  \n9) csc 􀀐􀀔 (cos 􀀓) 10) cos sec 􀀐􀀔 􀀕 􀀖   \n 􀁓  􀀖  \n􀀕  􀀖   \n􀀕  \n11) csc sec 􀀐􀀔  􀀙  12) sin 􀀐􀀔 (sec 􀀓)􀀕  􀁓   \n 􀀖 􀀕  \n13) sec cot􀀐􀀔 􀀕 􀀕􀀔  14) tan 􀀐􀀔 (sec 􀁓)􀀕􀀔  􀁓   \n􀀐  \n 􀀘  􀀗  \n􀀕  \nIdentify the domain and range of each. Then sketch the graph.  \n15) y 􀀠 sin cot 􀀐􀀔 x  \nDomain: All reals  \nRange: 􀀓 􀀟 y 􀁤 􀀔  \n16) y 􀀠 tan 􀀐􀀔 (cot x)  \nDomain: All reals except x 􀀠 k􀁓 for all integers k  \nRange: 􀀐 ~~ ~~~~ ~~ 􀀟 y 􀀟 ~~ ~~  \nWrite each trigonometric expression as an algebraic expression.  \n17) sin tan 􀀐􀀔 x  \nx  \n􀀔 􀀎 x 􀀕  \n19) sec cot􀀐􀀔 x  \nx 􀀕 􀀎 􀀔  \nx  \n18) csc cot 􀀐􀀔 x  \nx 􀀕 􀀎 􀀔  \n20) sec cos􀀐􀀔 x  \n 􀀔  x  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiuwHhYeDC4jT","https://ap.wps.com/l/cbCaiuwHhYeDC4jT","pdf",54891,"English","# Find the exact value of each expression\n## Tangent, cosine, and sine\n## Cosecant and secant expressions\n# Identify the domain and range, then sketch the graph\n## Tangent/cosine/sine relations with x\n## Cosecant/secant and cotangent combinations\n# Rewrite trigonometric expressions as algebraic expressions","[{\"question\":\"What does the worksheet ask students to do with inverse trig related expressions?\",\"answer\":\"Students must find exact values for multiple trigonometric expressions and, in separate sections, analyze their domains and ranges and sketch graphs.\"},{\"question\":\"Which types of functions appear in the problems?\",\"answer\":\"The worksheet includes tan, cos, sin, csc, and sec, along with expressions involving cotangent in several items.\"},{\"question\":\"How are the problems on domain and range handled?\",\"answer\":\"After identifying domain and range for each function relation, students sketch the corresponding graph to represent the behavior restricted by those intervals.\"}]","Inverse Trig Functions - Worksheets | PDF",1791426950]