[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-269853-105":59,"doc-detail-269853-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","trigonometry-script-learn-right-triangle-trig-with-sohcahtoa","Trigonometry Script - learn right-triangle trig with SOHCAHTOA","","Trigonometry explains how right-triangle side lengths and angles relate, enabling students to calculate unknown angles or sides. The script introduces sine, cosine, and tangent and defines the hypotenuse, adjacent side, and opposite side relative to a chosen angle. It demonstrates using SOHCAHTOA to select the correct function, solve for an unknown side length, then use inverse trig on a calculator to find an unknown angle, ending with a four-step method.",{"@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/trigonometry-script-learn-right-triangle-trig-with-sohcahtoa/269853/",{"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-script-learn-right-triangle-trig-with-sohcahtoa/269853.png","ImageObject",300,407,{"name":92,"@type":93},"Aurora","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is trigonometry used for in a right triangle?","Question",{"text":113,"@type":114},"It describes the relationship between side lengths and angles in a right triangle, allowing you to find an unknown angle or side.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you choose between sine, cosine, and tangent?",{"text":118,"@type":114},"Use SOHCAHTOA to match the known side types (opposite, adjacent, hypotenuse) to the correct trigonometric function.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you find an unknown angle with a calculator?",{"text":122,"@type":114},"Use the inverse (shift + sin/cos/tan) function corresponding to the chosen ratio, then read the angle in degrees from the calculator result.","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},269853,1789454068,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":130,"read_time":24},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Script  \nTrigonometry  \nThis video will explain trigonometry. Trigonometry is the relationship between sides and angles in a rightangled triangle. It helps us find an unknown angle or side. To do this, we need to know the meaning of sine, cosine and tangent. Sin, cos and tan for short. We also need to know the names of the sides we give to a triangle.  \nLook at the triangle at the bottom of the screen. Note we use the theta symbol for our unknown angle. The hypotenuse is the longest, diagonal side. The adjacent side is the one next to the given angle. The opposite side is the one opposite the angle.  \nFirst, we’ll look at finding the length of an unknown side. These three formulas are all you need. You can remember the acronym SOHCAHTOA. These triangles might help you remember.  \nWe are looking for the length of side b, which we can label ‘opposite’. We can also label the adjacent side. So, we will use this formula.  \nTan55 = opposite ÷ 12cm. We need to transpose to solve. Tan55 x 12cm = the opposite side. Tan55 x 12cm = 17. 137cm. So, after rounding down, side b is 17cm.  \nTo find an unknown angle, the same 3 formulas are used but we need to use the inverse key on our calculator. This can be found by pressing shift, then either sin, cos or tan.  \nFor example, we are looking for angle x. We know the opposite and the hypotenuse, so we know we are using sine. Putting it into our equation, sine = 100 ÷ 200, which makes sine 0.5. To find x we use the inverse key and this gives us 30 degrees.  \nTo sum up, there are 4 steps to trigonometry.  \nStep 1 – find the two sides we already know or are looking to find out.  \nStep 2 – Use SOHCAHTOA to decide whether to use sine, cosine or tangent.  \nStep 3 – Remember our triangles for calculating sin, cos and tan.  \nLastly, Step 4 – If you are after the angle, make sure you use the inverse button on your calculator.  \nFor further support, contact us by email, through our website or by coming into the library.  \nPage 2 of 2","cbCaifhmJuFuZO06","https://ap.wps.com/l/cbCaifhmJuFuZO06","pdf",311669,"English","# Trigonometry Overview\n## SOHCAHTOA and Side Definitions\n## Finding Unknown Sides\n## Finding Unknown Angles\n## Four-Step Summary","[{\"question\":\"What is trigonometry used for in a right triangle?\",\"answer\":\"It describes the relationship between side lengths and angles in a right triangle, allowing you to find an unknown angle or side.\"},{\"question\":\"How do you choose between sine, cosine, and tangent?\",\"answer\":\"Use SOHCAHTOA to match the known side types (opposite, adjacent, hypotenuse) to the correct trigonometric function.\"},{\"question\":\"How do you find an unknown angle with a calculator?\",\"answer\":\"Use the inverse (shift + sin/cos/tan) function corresponding to the chosen ratio, then read the angle in degrees from the calculator result.\"}]","Trigonometry Script - learn right-triangle trig with SOHCAHTOA | PDF"]