[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267000-105":59,"doc-detail-267000-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","trigonometric-ratio-practice-questions-read-online-free","Trigonometric Ratio Practice Questions - read online free","","Trigonometric Ratio practice questions centered on evaluating sine, cosine, and tangent values in right triangles and general triangles. Items include multiple-choice problems on sin B, cos B, tan C, and similarity-based angle relationships, plus free-response tasks that compute missing side lengths or trigonometric expressions using given angle measures and sides. Some questions are marked with (CALCULATOR) to indicate when calculator use is allowed, while others explicitly prohibit it unless indicated.",{"@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/trigonometric-ratio-practice-questions-read-online-free/267000/",{"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/trigonometric-ratio-practice-questions-read-online-free/267000.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"When is calculator use allowed in these problems?","Question",{"text":113,"@type":114},"Only questions labeled with “(CALCULATOR)” allow calculator use; all other questions state “DO NOT USE A CALCULATOR” unless indicated.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What types of information are used to find missing trigonometric values or side lengths?",{"text":118,"@type":114},"The problems provide angle measures (often with right angles) and sometimes side lengths, then ask for missing sine/cosine/tangent values or corresponding side lengths using triangle relationships.",{"name":120,"@type":111,"acceptedAnswer":121},"How do triangle similarity problems affect the answers?",{"text":122,"@type":114},"When triangles are stated to be similar, corresponding angles and sides are used to relate trigonometric expressions across the two triangles, enabling computation of target ratios like tan(F) or lengths such as BC.","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},267000,1789413910,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":66,"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":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"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":130,"read_time":143},4398046744996,"Trigonometric Ratio Practice Questions  \nDO NOT USE A CALCULATOR ON ANY OF THE FOLLOWING QUESTIONS UNLESS INDICATED.  \n1. In Triangle ABC above, what is the value of sin B ?  \n(A)  2   \n~~ ~~29 (B) 25  \n(C)  5   \n~~ ~~29  \n(D) 52  \n2. In Triangle ABC above, what is the value of cos B ?  \n(A)  2   \n~~ ~~13  \n(B)  3   \n~~ ~~13 (C) 23 (D) 32  \n3. In Triangle ABC above, what is the value of tan C ?  \n(A) 59 (B) 5106 (C) 9106 (D) 95  \n4. FREE RESPONSE: In Triangle FGH , the measure of 􀂑 G is 90􀁱 and FG 􀀠 3 . If tan F 􀀠 43 , what is the length of FH ?  \n5. (CALCULATOR) FREE RESPONSE: In Triangle ABC , the measure of 􀂑 C is 90􀁱 and AB 􀀠 26 . If sin B 􀀠 153 , what is the length of BC ?  \n6. FREE RESPONSE: Triangle LMN has right angle M. If cos L 􀀠 35 , what is the value of sin N?  \nNote: Figure not drawn to scale.  \n7. FREE RESPONSE: In Triangle ABC above, the sine of y 􀁱 is 0.8 . What is the cosine of x􀁱 ?  \nNote: Figure not drawn to scale.  \n8. In the figure above, triangle ABC is similar to triangle DEF and 􀂑B 􀀠 􀂑E . What is the value of tan(F ) ?  \n(A) 152  \n(B) 153  \n(C) 1123  \n(D) 125  \nNote: Figure not drawn to scale.  \n9. (CALCULATOR) FREE RESPONSE: In the figure above, cos(D) 􀀠 45 . If CD 􀀠 16 and DE 􀀠 10 , what is the length of BC ?  \n10. (CALCULATOR) FREE RESPONSE: In triangle DEF , the measure of 􀂑E is 90􀁱 , DE 􀀠 12 and EF 􀀠 16 . Triangle LMN is similar to triangle DEF , where vertices L , M , and N correspond to vertices D , E , and F , respectively, and each side of triangle LMN is 27 the length of the corresponding side of triangle DEF . What is the value of cosN ?  \nAdditional Trigonometry Topics Practice Questions  \nDO NOT USE A CALCULATOR ON ANY OF THE FOLLOWING QUESTIONS UNLESS INDICATED.  \n1. If x 􀁱 􀀎 y􀁱 􀀠 90􀁱 and cos y􀁱 􀀠 713 , what is the value of sin x􀁱 ?  \n(A) 137 (B) 163  \n(C) 713  \n(D) 67  \n2. If sin n 􀀠 3x and x 􀁺 0 , what is n in terms of x ?  \n(A) sin􀀐1( 3x)  \n(B) sin(3x)  \n(C) sin􀀐1(~~ ~~x3)  \n(D) sin( x3)  \n3. In a right triangle, one angle measures w􀁱 , where sin w􀁱 􀀠 153 . What is cos(90􀁱 􀀐 w􀁱 ) ?  \n(A) 153  \n(B) 1123  \n(C) 183  \n(D) 135  \n4. If 2 tan b 􀀠 34nm , what is b in terms of mand n ?  \n(A) tan􀀐1(~~ ~~83mn)  \n􀀐1 6n  \n(B) tan ( 4m)  \n(C) tan􀀐1(~~ ~~46mn)  \n(D) tan􀀐1(~~ ~~38nm)  \nNote: Figure not drawn to scale.  \n5. FREE RESPONSE: In the triangle above, the cosine of t 􀁱 is 0.35 . What is the sine of n􀁱 ?  \n6. If sin(90􀁱 􀀐 x􀁱 ) 􀀠 n , which of the following  cos x 􀁱   n   \n7. If 􀀠 , what is x in terms of n and  \nmust be true for all values of x ? 4 8t  \nt ?  \n(A) cos(x􀁱 ) 􀀠 n  \n(B) cos(90􀁱 􀀐 x􀁱 ) 􀀠 n (A) cos(~~ ~~n2t~~ ~~ )  \n(C) sin(x􀁱 ) 􀀠 90 􀀐 n  \n(B) cos􀀐1(~~ ~~n2t~~ ~~ )  \n(D) sin(90􀁱 􀀐 n􀁱 ) 􀀠 x  \n(C) cos(2tn~~ ~~ )  \n(D) cos􀀐1(~~ ~~2tn~~ ~~ )  \nNote: Figures not drawn to scale.  \n8. (CALCULATOR) The angles shown above are acute and sin x 􀁱 􀀠 cosy􀁱 . If x 􀀠 3z 􀀎 5 andy 􀀠 2z 􀀐10 , what is the value of z ?  \n(A) 15  \n(B) 17  \n(C) 19  \n(D) 37  \n9. FREE RESPONSE: If the value of n ?  \nn􀁱 􀀠 cos􀀐1( 12 ) , what is  \n10. (CALCULATOR) FREE RESPONSE : In Triangle NOP above, point K (not shown)  \nlies on NP . What is the value of cos(􀂑KOP) 􀀐sin(􀂑NOK ) ?","cbCaitIQUtN7RgKI","https://ap.wps.com/l/cbCaitIQUtN7RgKI","pdf",818264,"English","# Trigonometric Ratio Practice Questions\n## Multiple-choice\n## Free response\n## Calculator-allowed questions\n# Additional Trigonometry Topics Practice Questions\n## Trigonometric identities and angle relations\n## Solve for variables\n## Calculator-allowed problems","[{\"question\":\"When is calculator use allowed in these problems?\",\"answer\":\"Only questions labeled with “(CALCULATOR)” allow calculator use; all other questions state “DO NOT USE A CALCULATOR” unless indicated.\"},{\"question\":\"What types of information are used to find missing trigonometric values or side lengths?\",\"answer\":\"The problems provide angle measures (often with right angles) and sometimes side lengths, then ask for missing sine/cosine/tangent values or corresponding side lengths using triangle relationships.\"},{\"question\":\"How do triangle similarity problems affect the answers?\",\"answer\":\"When triangles are stated to be similar, corresponding angles and sides are used to relate trigonometric expressions across the two triangles, enabling computation of target ratios like tan(F) or lengths such as BC.\"}]","Trigonometric Ratio Practice Questions - read online free | PDF",15]