[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522792-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522792-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","trig-ratios-of-general-angles-worksheet","Trig Ratios of General Angles - Worksheet","","Worksheet for Infinite Algebra 2 practice focused on trigonometric function values for angles in standard position, including calculator-based approximations rounded to the nearest ten-thousandth. Problems include evaluating cos and sin for positive and negative degree measures, then computing exact values for functions such as tan, sec, cot, and csc with notes that some may be undefined. Coordinate points are also used to determine sin and cos of angles derived from given (x, y) values.",{"@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/trig-ratios-of-general-angles-worksheet/522792/",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/trig-ratios-of-general-angles-worksheet/522792.png","ImageObject",300,407,{"name":42,"@type":43},"Aria Callaghan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How are the calculator answers expected to be rounded in the worksheet?","Question",{"text":63,"@type":64},"Answers found using a calculator must be rounded to the nearest ten-thousandth.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which trigonometric functions are included for exact-value evaluation?",{"text":68,"@type":64},"The worksheet includes tan, sec, cot, and csc, alongside cos and sin.",{"name":70,"@type":61,"acceptedAnswer":71},"What should you do when a trigonometric function value is not defined?",{"text":72,"@type":64},"The worksheet indicates that some exact values may be undefined, so those cases should be marked as undefined rather than computed.","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},522792,1791709958,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"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":123,"preview_page_count":4},962084926284,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Algebra 2 Name   \nTrig Ratios of General Angles Date  Period   \nUse a calculator to find each. Round your answers to the nearest ten-thousandth.  \n1) cos 101° 2) cos 310°  \n3) sin 105° 4) sin −305°  \n5) sin −228° 6) sin −120°  \n7) cos −70° 8) cos 140°  \nFind the exact value of each trigonometric function. Some may be undefined.  \n9) tan 2π3~~ ~~ 10) sec − ~~ ~~3π4~~ ~~  \n11) cos ~~ ~~116π~~ ~~ 12) cot ~~ ~~5π3~~ ~~  \n13) csc − ~~ ~~π2~~ ~~ 14) tan − ~~ ~~3π2~~ ~~  \n15) sec 0 7π  \n16) tan − 4   \n17) sec θ  \n y  \n\n|  | |\n| --- | --- |\n|  | |\n\nx  \n( 13, −9)  \n19) cos θ  \n)  \n(−2, − 5  \nx  \n21) cos θ  \ny  \n(8, 17 )  \nx  \n18) sin θ  \n y  \n\n|  | |\n| --- | --- |\n|  | |\n\nx  \n(4, −16)  \n20) sin θ  \n y  \n\n|  | |\n| --- | --- |\n|  |  |\n\n(−4 , −2  \nx  \n22) cos θ  \nx  \nKuta Software-Infinite Algebra 2 Name   \nTrig Ratios of General Angles Date  Period   \nUse a calculator to find each. Round your answers to the nearest ten-thousandth.  \n1) cos 101° 2) cos 310°  \n-0.1908 0.6428  \n3) sin 105° 4) sin −305°  \n0.9659 0.8192  \n5) sin −228° 6) sin −120°  \n0.7431 -0.8660  \n7) cos −70° 8) cos 140°  \n0.3420 -0.7660  \nFind the exact value of each trigonometric function. Some may be undefined.  \n9) tan 2π3~~ ~~  \n− 3  \n11) cos ~~ ~~116π~~  ~~ 3  \n2  \n13) csc − ~~ ~~π2  \n−1  \n15) sec 0  \n1  \n10) sec − ~~ ~~3π4~~ ~~  \n− 2  \n12) cot ~~ ~~5π3~~ ~~  \n 3  \n−  \n3  \n14) tan − ~~ ~~3π2~~ ~~  \nUndefined  \n16) tan − ~~ ~~7π4~~  ~~1  \n17) sec θ  \n y  \n\n|  | |\n| --- | --- |\n|  | |\n\nx  \n( 13, −9)  \n5 10  \n13  \n19) cos θ  \n y  \n\n| |  | |  |\n| --- | --- | --- | --- |\n| (−2, − 5 )\u003Cbr>\u003Cbr>\u003Cbr>| |  | x |\n\n2  \n−  \n3  \n21) cos θ  \ny  \n(8, 17 )  \n8  \n9  \nx  \n18) sin θ  \n y  \n\n|  | |\n| --- | --- |\n|  | |\n\nx  \n(4, −16)  \n4 17  \n−  \n17  \n20) sin θ  \n y  \n|  | |\n| --- | --- |\n|  |  |\n\n(−4 , −2  \nx  \n 5  \n−  \n3  \n22) cos θ   \ny  \n  ( 16, 16)  \nx  \n2  \n2  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiiqjzxu8hU09","https://ap.wps.com/l/cbCaiiqjzxu8hU09","pdf",38880,"English","# Trigonometric Ratios of General Angles\n## Calculator Approximations\n## Exact Values and Undefined Cases\n## Using Coordinate Points","[{\"question\":\"How are the calculator answers expected to be rounded in the worksheet?\",\"answer\":\"Answers found using a calculator must be rounded to the nearest ten-thousandth.\"},{\"question\":\"Which trigonometric functions are included for exact-value evaluation?\",\"answer\":\"The worksheet includes tan, sec, cot, and csc, alongside cos and sin.\"},{\"question\":\"What should you do when a trigonometric function value is not defined?\",\"answer\":\"The worksheet indicates that some exact values may be undefined, so those cases should be marked as undefined rather than computed.\"}]","Trig Ratios of General Angles - Worksheet | PDF",1791426177]