[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522755-105":59,"doc-detail-522755-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","right-triangle-trig-evaluating-trig-ratios-worksheets","Right Triangle Trig - Evaluating Trig Ratios - Worksheets","","Right triangle trigonometry worksheet focused on evaluating six trig functions (sec, csc, cot, tan, sin, cos) from given right-triangle relationships and specified angles. Problems include finding the indicated function values, then solving additional items where one trig ratio is known and the requested ratio must be derived. Answers are rounded to the nearest ten-thousandth for angle-based questions. The set also includes critical thinking prompts involving drawing a matching right isosceles triangle and analyzing slope in relation to tan θ.",{"@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/right-triangle-trig-evaluating-trig-ratios-worksheets/522755/",{"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/right-triangle-trig-evaluating-trig-ratios-worksheets/522755.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1786070896","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How are answers handled for the angle trigonometry questions?","Question",{"text":112,"@type":113},"Angle-based trig function values are rounded to the nearest ten-thousandth.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What type of problems involve finding one trig function from another given function?",{"text":117,"@type":113},"Some items provide a known trig relationship (e.g., sec θ or tan θ) and ask for the corresponding cot θ, csc θ, tan θ, or sec θ value using right-triangle identities.",{"name":119,"@type":110,"acceptedAnswer":120},"What do the critical thinking questions ask you to do?",{"text":121,"@type":113},"They ask you to draw a right triangle based on a tangent angle and compare it to tan θ, and to determine the slope of the hypotenuse for a specific numbered problem and explain the connection to tan θ.","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},522755,1791710292,{"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":39,"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},549768072016,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nRight Triangle Trig. -Evaluating Trig. Ratios Date  Period   \nFind the value of the trig function indicated.  \n1) sec θ  \n15  \n3) cot θ  \n3  \n5) csc θ  \n8  \n16 2  \n7) cot θ  \n15  \n20  \n9) tan θ  \n6  \n8  \n11) tan θ  \n5  \n2) sec θ  \n13  \n4) csc θ  \n8  \n6) cos θ  \n 14 2  \n7  \n θ   \n21  \n8) tan θ  \n22  \n2 23  \n10) cot θ  \n2 5  \n12) cot θ  \n 2412  \n θ  12 5  \n13) tan θ  \n24  \n14) sin θ  \n13  \n6  \n7  \nFind the value of each. Round your answers to the nearest ten-thousandth.  \n15) cos 10° 16) sin 60°  \n17) csc 21° 18) cos 60°  \n19) tan 40° 20) csc 59°  \n21) csc 56° 22) cot 65°  \n23) tan 10° 24) tan 25°  \nFind the value of the trig function indicated.  \n3  26) Find cot θ if sec θ = 2  \n25) Find csc θ if tan θ =  \n4  \n27) Find tan θ if sin θ = ~~ ~~45~~ ~~ 28) Find cot θ if sec θ = ~~ ~~54  \n29) Find sec θ if sin θ = ~~ ~~3~~ ~~1133~~ ~~  30) Find cot θ if sin θ = ~~ ~~1123  \nCritical think questions:  \n31) Draw a right triangle that has an angle with a 32) What is the slope of the hypotenuse for \\#9?  \ntangent of 1. How does that compare to tan θ ? Why?  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nRight Triangle Trig. -Evaluating Trig. Ratios Date________________ Period____  \nFind the value of the trig function indicated.  \n1) sec θ  17  2) sec θ  13  \n15 15 13 12  \n8  \n3) cot θ  \n3  \n4  \n3  \n5) csc θ  \n8  \n3 2  \n4  \n16 2  \n7) cot θ  \n15  \n20  \n9) tan θ  \n6  \n4  \n3  \n3  \n4  \n8  \n11) tan θ  \n5  \n3  \nθ  \n4  \n3  \n4  \n4) csc θ  \n15  \n17  \n15  \n6) cos θ  \n 14 2  \n7  \n θ   \n21  \n8) tan θ  \n2 23  \n22  \n11 23  \n23  \n10) cot θ  \n4  \n12) cot θ  \n 2412  \n θ  12 5  \n2 2  \n3  \n 1  \n2  \n13) tan θ  \n24  \n 7   \n24  \n14) sin θ  \n13  \n6  \n7  \n6  \n7  \nFind the value of each. Round your answers to the nearest ten-thousandth.  \n15) cos 10° 16) sin 60°  \n0.9848 0.8660  \n17) csc 21° 18) cos 60°  \n2.7904 0.5000  \n19) tan 40° 20) csc 59°  \n0.8391 1.1666  \n21) csc 56° 22) cot 65°  \n1.2062 0.4663  \n23) tan 10° 24) tan 25°  \n0.1763 0.4663  \nFind the value of the trig function indicated.  \n3  \n3 5 26) Find cot θ if sec θ = 2 ~~ ~~  \n25) Find csc θ if tan θ =  4 3  3  \n27) Find tan θ if sin θ = ~~ ~~4~~  ~~45~~  ~~3~~ ~~ 28) Find cot θ if sec θ = ~~ ~~54 43  \n29) Find sec θ if sin θ = ~~ ~~3~~ ~~1133 132~~ ~~ 30) Find cot θ if sin θ = ~~ ~~1123~~ ~~ ~~ ~~512  \nCritical think questions:  \n31) Draw a right triangle that has an angle with a 32) What is the slope of the hypotenuse for \\#9?  \ntangent of 1. How does that compare to tan θ ? Why?  \nAny right isosceles triangle.  3  \nIt's the same as tan θ since rise/run = opp/adj 4  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiuzQvLVkcYes","https://ap.wps.com/l/cbCaiuzQvLVkcYes","pdf",36398,"English","# Find the value of the trig function indicated\n## Angle-based evaluations (sec, csc, cot, tan, sin, cos)\n## Function conversion problems from a given ratio\n# Critical think questions","[{\"question\":\"How are answers handled for the angle trigonometry questions?\",\"answer\":\"Angle-based trig function values are rounded to the nearest ten-thousandth.\"},{\"question\":\"What type of problems involve finding one trig function from another given function?\",\"answer\":\"Some items provide a known trig relationship (e.g., sec θ or tan θ) and ask for the corresponding cot θ, csc θ, tan θ, or sec θ value using right-triangle identities.\"},{\"question\":\"What do the critical thinking questions ask you to do?\",\"answer\":\"They ask you to draw a right triangle based on a tangent angle and compare it to tan θ, and to determine the slope of the hypotenuse for a specific numbered problem and explain the connection to tan θ.\"}]","Right Triangle Trig - Evaluating Trig Ratios - Worksheets | PDF",1791426133]