[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-207102-105":59,"doc-detail-207102-en":124},{"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":117,"head_meta":119,"extra_data":121,"updated_unix":123},105,"en","13-h-more-trigonometry-phase-1","13-H-More-Trigonometry-Phase-1","","This document contains a series of trigonometry problems for a Phase 1 exam. It covers calculating upper and lower bounds for angles, finding the area of triangles, determining side lengths, solving trigonometric equations, and calculating shaded areas within sectors of circles. The problems require application of trigonometric ratios (sine, cosine), the sine rule, and the cosine rule, as well as understanding of angle bounds and area formulas. Specific questions involve finding angle values related to given sine values, calculating lengths like BC, and determining the area of a shaded sector. The exam is designed to assess understanding of these concepts across multiple questions, with an overall mark of /50. The problems are presented with diagrams and specified accuracy for given values.",{"@graph":69,"@context":116},[70,84,99],{"@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/13-h-more-trigonometry-phase-1/207102/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":93,"encodingFormat":92,"isAccessibleForFree":94,"interactionStatistic":95},"DigitalDocument",{"name":87,"@type":88},"Ophelia","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":96,"interactionType":97,"userInteractionCount":4},"InteractionCounter",{"@type":98},"ViewAction",{"@type":100,"mainEntity":101},"FAQPage",[102,108,112],{"name":103,"@type":104,"acceptedAnswer":105},"What is the purpose of the document?","Question",{"text":106,"@type":107},"This document appears to be an exam paper or practice set focused on trigonometry, specifically designed for Phase 1 learning and assessment. It includes various problems related to triangle properties, angles, and trigonometric functions.","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"What types of trigonometric concepts are covered in this document?",{"text":111,"@type":107},"The document covers a range of trigonometry topics, including calculating upper and lower bounds for angles, finding triangle areas, determining side lengths using trigonometric rules, solving trigonometric equations like sin x = 3/2 and 2cos x = 1, and calculating the area of shaded sectors.",{"name":113,"@type":104,"acceptedAnswer":114},"What is the format of the questions, and how are the answers to be presented?",{"text":115,"@type":107},"The questions are presented with diagrams where applicable and often specify the required accuracy for numerical answers. Some questions require answers to be expressed with correct units or to a suitable degree of accuracy, with the overall exam marked out of 50.","https://schema.org",{"og:url":83,"og:type":118,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":120,"canonical":83},"index,follow",{"doc_id":122,"site_id":62},207102,1788598077,{"code":4,"msg":5,"data":125},{"doc_id":122,"user_id":126,"nickname":87,"user_avatar":127,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":133,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":134,"faqs":135,"seo_title":136,"seo_description":67,"update_tm":123,"read_time":52},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","NAME  \nTime:  \nCalculator Questions  \n1 The diagram shows a triangle PQR.  \nThe lengths ofthe sides are given correct to 1 decimal place.  \na Work out the upper bound for the value of x.  \n(2 marks)  \nb Work out the lower bound for the value of x.  \n(2 marks)  \nc Write the value of x to a suitable degree of accuracy.  \n(1 mark)  \n3 The diagram shows triangle ABC.  \na Find the area of triangle ABC.  \n(2 marks)  \nb Find the length of the side AC.  \n(2 marks)  \n5 Complete the following, inserting angles between 0° and 90° on the dotted lines.  \na sin   ° = sin 150°  \n(1 mark)  \nb sin   ° = sin 179°  \n(1 mark)  \n 3  \n7 Write down two values of x such that sin x =  \n2  \n(2 marks)  \n9 The diagram shows a right-angled triangle. 9.3 cm is correct to 1 decimal place. 38° is correct to the nearest degree.  \na Find the upper bound for x.  \n(2 marks)  \nb Find the lower bound for x.  \n(2 marks)  \nc Write the value of x to a suitable degree of accuracy.  \n(1 mark)  \n11 AOC is a sector of a circle, centre O.  \nQ11  \nFind the shaded area.  \nGive the correct units with your answer.  \n(5 marks)  \n13 The diagram shows a quadrilateral ABCD.  \nWork out the length of the side BC.  \n(5 marks)  \n15 Solve the equation 2cosx = 1 for 0° ⩽ x ⩽ 360°  \n(2 marks)  \nOverall mark /50","cbCaihM7ne7TPcEn","https://ap.wps.com/l/cbCaihM7ne7TPcEn","pdf",289745,"English","# Calculator Questions\n# Complete the following, inserting angles between 0° and 90° on the dotted lines.\n# Write down two values of x such that sin x = 3/2\n# Find the upper bound for x.\n# Find the lower bound for x.\n# Write the value of x to a suitable degree of accuracy.\n# AOC is a sector of a circle, centre O.\n# Find the shaded area.\n# Give the correct units with your answer.\n# Work out the length of the side BC.\n# Solve the equation 2cosx = 1 for 0° ⩽ x ⩽ 360°","[{\"question\":\"What is the purpose of the document?\",\"answer\":\"This document appears to be an exam paper or practice set focused on trigonometry, specifically designed for Phase 1 learning and assessment. It includes various problems related to triangle properties, angles, and trigonometric functions.\"},{\"question\":\"What types of trigonometric concepts are covered in this document?\",\"answer\":\"The document covers a range of trigonometry topics, including calculating upper and lower bounds for angles, finding triangle areas, determining side lengths using trigonometric rules, solving trigonometric equations like sin x = 3/2 and 2cos x = 1, and calculating the area of shaded sectors.\"},{\"question\":\"What is the format of the questions, and how are the answers to be presented?\",\"answer\":\"The questions are presented with diagrams where applicable and often specify the required accuracy for numerical answers. Some questions require answers to be expressed with correct units or to a suitable degree of accuracy, with the overall exam marked out of 50.\"}]","13-H-More-Trigonometry-Phase-1 | PDF"]