[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-473293-105":59,"doc-detail-473293-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","trigonometry-two-practice-exam","Trigonometry Two - Practice Exam","","Trigonometry Two Practice Exam focuses on solving and analyzing trigonometric equations over specified angle domains, typically 0 ≤ θ ≤ 2π and 0° ≤ θ ≤ 360°. The questions require finding general solutions, determining when equations have no solution due to graph intersection or undefined expressions (e.g., cosecant or secant), and selecting appropriate solution techniques. Several items also test recognizing trigonometric identities and rewriting equivalent expressions into exact forms using algebraic and geometric methods like unit-circle reasoning and reference triangles.",{"@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/trigonometry-two-practice-exam/473293/",{"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/trigonometry-two-practice-exam/473293.png","ImageObject",300,407,{"name":92,"@type":93},"Asher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-08","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the general solution when tanθ = 0?","Question",{"text":112,"@type":113},"Use the standard solution set for tangent being zero, then select the matching option for θ in the required domain.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean if an equation like secθ = -2 has no solutions?",{"text":117,"@type":113},"It indicates the horizontal value y = -2 never matches the secant values in the allowed θ range, or the required angles cause no valid intersection; choose the option stating there is no solution.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you determine whether a trigonometric equation is an identity?",{"text":121,"@type":113},"Check whether both sides are algebraically equivalent for all allowable angles (excluding where expressions are undefined), then select the option that represents a true identity.","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},473293,1790960877,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":41},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Math 30-1: Trigonometry Two  \nPRACTICE EXAM  \n1.  \nThe general solution of tanθ = 0 is:  \nA .  \nC .  \nD .  \nB .  \n2. Over the domain 0 ≤ θ ≤ 2π, the equation cosθ = 2 has:  \nA . Solutions at  .  \nB . Solutions at  ~~ ~~~~ ~~~~ ~~ .  \nC . Solutions at (0, 2),(π, 2), and (2π, 2) .  \nD . No solution. The graph of y = cosθ and the graph of y = 2 have no point of intersection.  \n3.  \nThe general solution of  \nis:  \nA .  \nB .  \nC .  \nD .  \n4. Over the domain 0 ≤ θ ≤ 2π, the equation has:  \nA . No solution.  \nB . Solutions at the θ-intercepts of y = 2cosθ - 1.  \nC . The solutions  ~~ ~~ .  \nD . The solutions  .  \ncosθ =  \nTrigonometry Two Practice Exam [www.math30.ca](www.math30.ca)  \n5. Which of the following techniques cannot be used to solve sinθ = -0.30?  \nA . Solving with the sin-1 feature of a calculator.  \nB . Finding angles on the unit circle.  \nC . Finding point(s) of intersection.  \nD . Finding θ-intercepts.  \n6. The general solution of secθ = -2 is:  \nA .   ~~ ~~~~ ~~    ~~ ~~~~ ~~   \nB .       ~~ ~~    \nC .   ~~ ~~     ~~ ~~    \nD . No solution.  \n[7.](7. csc)[ csc](7. csc)θ is undefined at:  \nA .        \nB .      \nC .      \nD .      \n8. Over the domain 0° ≤ θ ≤ 360°, the equation secθ = -2.3662 has solutions of:  \nA . θ = 115°, 245°  \nB . θ = 120°, 240°  \nC . θ = 125°, 235°  \nD . θ = 130°, 230°  \n[www.math30.ca](www.math30.ca) Trigonometry Two Practice Exam  \n9. Over the domain 0 ≤ θ ≤ 2π, the equation 2sinθcosθ = cosθ has solutions of:  \n10.  \nA .  \nOver  \nthe domain 0 ≤ θ ≤ 2π,  \nthe equation 2cos2θ = cosθ has solutions  \nof:  \nC .  \nD .  \nB .  \n11. Over the domain 0 ≤ θ ≤ 2π, the equation tan4θ -tan2θ = 0 has solutions of:  \n12.  \nA .  \nOver  \nthe domain 0 ≤ θ ≤ 2π,  \nC .  \nthe equation 2sin2θ -sinθ - 1 = 0 has solutions  \nof:  \nD .  \nB .  \n13. Over the domain 0 ≤ θ ≤ 2π, the equation csc2θ -3cscθ + 2 = 0 has solutions of:  \n14. Over the domain 0 ≤ θ ≤ 2π, the equation 2sin3θ -5sin2θ + 2sinθ = 0 has solutions of:  \nA .   ~~ ~~~~ ~~ C .  ~~ ~~~~ ~~  \nB .  D .   ~~ ~~  ~~ ~~  ~~ ~~  \nTrigonometry Two Practice Exam [www.math30.ca](www.math30.ca)  \n19. Which trigonometric equation can be classified as a trigonometric identity?  \nA .  ~~ ~~  \nB .   \nC .  ~~ ~~  \nD .   \n20. The expression  is equivalent to:  \nA .      \nB .      ~~ ~~   \nC .      \nD .       \n21. The expression ~~ ~~ is equivalent to:  \n22. The expression  ~~ ~~  is equivalent to:  \nA .      \nB .      \nC .      \nD .      \n[www.math30.ca](www.math30.ca) Trigonometry Two Practice Exam  \n23. The expression  is equivalent to:  \nA .      \nB .      \nC .     ~~ ~~   \nD .     ~~ ~~~~ ~~   \n24. The expression  is equivalent to:  \nA .      \nB .       \nC .  ~~ ~~      \nD .  ~~ ~~       \n25. The expression  is equivalent to:  \n26. The expression  is equivalent to:  \nTrigonometry Two Practice Exam [www.math30.ca](www.math30.ca)  \n27. The expression ~~ ~~ ~~ ~~ is equivalent to:  \nA .       \nB .     ~~ ~~   \nC .       \nD .       \n28. The expression ~~ ~~~~ ~~ is equivalent to:  \n29. The expression  ~~ ~~  is equivalent to:  \nA .       \nB .       \nC .       \nD .       \n30. The expression  is equivalent to:  \n[www.math30.ca](www.math30.ca) Trigonometry Two Practice Exam  \n31. The false statement regarding  is:  \nA . The left side and right side are equal algebraically.  \nB . The left side and right side are equal when  .  \nC . The left side and right side have the same non-permissible values.  \nD . The graph of y = sinx is continuous but the graph of y = tanxcosx has holes.  \n32. Over the domain 0 ≤ θ ≤ 2π, the equation 2sin2x-cosx-1 = 0 has solutions of:  \nA .   ~~ ~~  \nB .  ~~ ~~  ~~ ~~  \nC .  ~~ ~~  ~~ ~~  ~~ ~~  \nD .  ~~ ~~~~ ~~ ~~ ~~~~ ~~  \n33. Over the domain 0 ≤ θ ≤ 2π, the equation 3 -3cscx + cot2x = 0 has solutions of:  \nA .   ~~ ~~~~ ~~  \nB .  ~~ ~~  ~~ ~~  ~~ ~~  \nC .   ~~ ~~  \nD .  ~~ ~~  ~~ ~~  ~~ ~~  \n34. Over the domain 0 ≤ θ ≤ 2π, the equation 2sec2x-tan4x = -1 has solutions of:  \nA .  ~~ ~~~~ ~~ ~~ ~~~~ ~~  \nB .  ~~ ~~  ~~ ~~  \nC .  ~~ ~~  ~~ ~~  ~~ ~~  ~~ ~","cbCaikip5YfpOsfX","https://ap.wps.com/l/cbCaikip5YfpOsfX","pdf",554959,12,"English","# Practice Exam\n## Solving trigonometric equations\n## Trigonometric identities and equivalent expressions\n## Techniques and function domains","[{\"question\":\"How do you find the general solution when tanθ = 0?\",\"answer\":\"Use the standard solution set for tangent being zero, then select the matching option for θ in the required domain.\"},{\"question\":\"What does it mean if an equation like secθ = -2 has no solutions?\",\"answer\":\"It indicates the horizontal value y = -2 never matches the secant values in the allowed θ range, or the required angles cause no valid intersection; choose the option stating there is no solution.\"},{\"question\":\"How can you determine whether a trigonometric equation is an identity?\",\"answer\":\"Check whether both sides are algebraically equivalent for all allowable angles (excluding where expressions are undefined), then select the option that represents a true identity.\"}]","Trigonometry Two - Practice Exam | PDF",1790782222]