[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-269862-105":59,"doc-detail-269862-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-formulas","Trigonometry Formulas","","This document presents a concise compilation of fundamental trigonometry formulas, primarily focusing on the relationships between sides of a right-angled triangle. It clearly defines the sine, cosine, and tangent trigonometric functions in terms of the opposite side, adjacent side, and hypotenuse. Additionally, it provides rearranged formulas for calculating the length of sides when other sides and trigonometric ratios are known. For instance, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse, and consequently, the opposite side can be found by multiplying the sine of the angle by the hypotenuse. Similarly, formulas for adjacent and hypotenuse are presented based on cosine and sine ratios, and tangent is defined as the ratio of the opposite side to the adjacent side, with corresponding formulas for calculating opposite and adjacent lengths. This resource is valuable for students and professionals needing quick access to basic trigonometric identities for problem-solving in mathematics and science subjects.",{"@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-formulas/269862/",{"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-formulas/269862.png","ImageObject",300,407,{"name":92,"@type":93},"Eliana","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",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the definition of sine in a right-angled triangle?","Question",{"text":113,"@type":114},"Sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How can the opposite side be calculated using trigonometric functions?",{"text":118,"@type":114},"The opposite side can be calculated by multiplying the sine of the angle by the hypotenuse, or by multiplying the tangent of the angle by the adjacent side.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the definition of tangent?",{"text":122,"@type":114},"Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.","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},269862,1789454095,{"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":8,"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":81},4398048949847,"https://ap-avatar.wpscdn.com/avatar/400002536579ef2da7f?_k=1778318612642679267","# Trigonometry Formulas\n\n\n| Sine =Opposite  \u003Cbr>Hypotenuse  \u003Cbr>Opposite =Sin0xHypotenuse  \u003Cbr>Hypotenuse =Opposite   |\n| --- |\n| Cose=Adjacent  \u003Cbr>Hypotenuse  \u003Cbr>Adjacent=CosexHypotenuse  \u003Cbr>Hypotenuse =Opposite  \u003Cbr>Cose   |\n| Tan0=Opposite  \u003Cbr>Adjacent  \u003Cbr>Opposite =TanexAdjacent  \u003Cbr>Adjacent =Opposite  \u003Cbr>Tane   |","cbCaibbOrCBN7p1O","https://ap.wps.com/l/cbCaibbOrCBN7p1O","pdf",160136,"English","# Trigonometry Formulas","[{\"question\":\"What is the definition of sine in a right-angled triangle?\",\"answer\":\"Sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.\"},{\"question\":\"How can the opposite side be calculated using trigonometric functions?\",\"answer\":\"The opposite side can be calculated by multiplying the sine of the angle by the hypotenuse, or by multiplying the tangent of the angle by the adjacent side.\"},{\"question\":\"What is the definition of tangent?\",\"answer\":\"Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.\"}]","Trigonometry Formulas | PDF"]