[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-572136-105":3,"detail-sidebar-cat-1-en-105":74,"doc-detail-572136-en":120},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":67,"head_meta":69,"extra_data":71,"updated_unix":73},105,"en","trigonometry-formulas-for-class-10-basic-trigonometric-formulas-identities-angle-formulas","Trigonometry Formulas For Class 10 - Basic Trigonometric Formulas, Identities & Angle Formulas","","Trigonometry Formulas For Class 10 compiles essential trigonometric ratios and their mathematical meaning, including sin, cos, tan, cot, cosec, and sec. It explains reciprocal relations between trigonometric functions, sign functions for −θ across all major functions, and foundational identities such as sin²A + cos²A = 1. It further covers periodic identities, complementary ratios by quadrant, and sum, difference, double-angle, and triple-angle formulas for sin, cos, and tan.",{"@graph":14,"@context":66},[15,34,49],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/template/","Template",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/template/forms/","Forms",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/template/trigonometry-formulas-for-class-10-basic-trigonometric-formulas-identities-angle-formulas/572136/",4,{"url":32,"name":10,"@type":35,"author":36,"headline":10,"publisher":39,"fileFormat":42,"inLanguage":8,"description":12,"dateModified":43,"datePublished":43,"encodingFormat":42,"isAccessibleForFree":44,"interactionStatistic":45},"DigitalDocument",{"name":37,"@type":38},"Boyslovefans","Person",{"url":19,"name":40,"@type":41},"DocShare","Organization","application/pdf","2026-10-13",true,{"@type":46,"interactionType":47,"userInteractionCount":4},"InteractionCounter",{"@type":48},"ViewAction",{"@type":50,"mainEntity":51},"FAQPage",[52,58,62],{"name":53,"@type":54,"acceptedAnswer":55},"What are the basic trigonometric ratios for Class 10?","Question",{"text":56,"@type":57},"The document lists sinA, cosA, tanA, cotA, cosecA, and secA, along with their corresponding geometric interpretations (perpendicular/base/hypotenuse relationships).","Answer",{"name":59,"@type":54,"acceptedAnswer":60},"What reciprocal relations connect the trigonometric ratios?",{"text":61,"@type":57},"It provides tanA = sinA/cosA, cotA = cosA/sinA, cosecA = 1/sinA, and secA = 1/cosA.",{"name":63,"@type":54,"acceptedAnswer":64},"Which angle formulas are included for solving trig problems?",{"text":65,"@type":57},"It includes identities for sum and difference of two angles, double-angle formulas, and triple-angle formulas for sin, cos, and tan.","https://schema.org",{"og:url":32,"og:type":68,"og:title":10,"og:site_name":40,"og:description":12},"article",{"robots":70,"canonical":32},"index,follow",{"doc_id":72,"site_id":7},572136,1791925741,{"code":4,"msg":75,"data":76},"success",[77,82,87,92,97,102,106,111,116],{"id":78,"doc_module":22,"doc_module_name":25,"category_name":79,"show_sort_weight":80,"slug":81},11,"Presentations",90,"presentations",{"id":83,"doc_module":22,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},12,"Resumes",80,"resumes",{"id":88,"doc_module":22,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},14,"Invoices",70,"invoices",{"id":93,"doc_module":22,"doc_module_name":25,"category_name":94,"show_sort_weight":95,"slug":96},15,"Posters",60,"posters",{"id":98,"doc_module":22,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},16,"Social 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3 | tanA | Perpendicular/Base |\n| --- | --- | --- |\n| 4 | cotA | Base/Perpendicular |\n| 5 | cosec A | Hypotenuse/Perpendicular |\n| 6 | sec A | Hypotenuse/Base |\n\n| \u003Cbr>Reciprocal Relation Between Trigonometric Ratios |  |  |\n| --- | --- | --- |\n| [S.no](S.no) | Trigonometric ratios | Relation |\n| 1 | tanA | sinA/cosA |\n| 2 | cotA | cos A/sinA |\n| 3 | cosec A | 1/sin A |\n| 4 | sec A | 1/cos A |\n\nTrigonometric Sign Functions  \n● sin (-θ) = − sin θ  \n● cos (−θ) = cos θ  \n● tan (−θ) = − tan θ  \n● cosec (−θ) = − cosec θ  \n● sec (−θ) = sec θ  \n● cot (−θ) = − cot θ  \nTrigonometric Identities  \n1. sin2A + cos2A = 1  \n2. tan2A + 1 = sec 2A  \n3. cot2A + 1 = cosec 2A  \nPeriodic Identities  \n● sin(2nπ + θ ) = sin θ  \n● cos(2nπ + θ ) = cos θ  \n● tan(2nπ + θ ) = tan θ  \n● cot(2nπ + θ ) = cot θ  \n● sec(2nπ + θ ) = sec θ   \n● cosec(2nπ + θ ) = cosec θ   \nComplementary Ratios  \nQuadrant I  \n● sin(π/2 − θ) = cos θ  \n● cos(π/2 − θ) = sin θ  \n● tan(π/2 − θ) = cot θ  \n● cot(π/2 − θ) = tan θ  \n● sec(π/2 − θ) = cosec θ  \n● cosec(π/2 − θ) = sec θ  \nQuadrant II  \n● sin(π − θ) = sin θ  \n● cos(π − θ) = -cos θ  \n● tan(π − θ) = -tan θ  \n● cot(π − θ) = – cot θ  \n● sec(π − θ) = -sec θ  \n● cosec(π − θ) = cosec θ  \nQuadrant III  \n● sin(π + θ) = – sin θ  \n● cos(π + θ) = – cos θ  \n● tan(π + θ) = tan θ  \n● cot(π + θ) = cot θ  \n● sec(π + θ) = -sec θ  \n● cosec(π + θ) = -cosec θ  \nQuadrant IV  \n● sin(2π − θ) = – sin θ  \n● cos(2π − θ) = cos θ  \n● tan(2π − θ) = – tan θ  \n● cot(2π − θ) = – cot θ  \n● sec(2π − θ) = sec θ  \n● cosec(2π − θ) = -cosec θ  \nSum and Difference of Two Angles  \n● sin (A + B) = sinA cos B + cos A sin B  \n● sin (A − B) = sinA cos B – cos A sin B  \n● cos (A + B) = cos A cos B – sinA sin B  \n● cos (A– B) = cos A cos B + sinA sin B  \n● tan(A + B) = [(tan A + tan B)/(1 – tan A tan B)]  \n● tan(A-B) = [(tan A– tan B)/(1 + tan A tan B)]   \nDouble Angle Formulas  \n● sin 2A = 2 sin A cos A = [2 tan A /(1 + tan 2A)]  \n● cos 2A = cos 2A– sin2A = 1 – 2 sin 2A = 2 cos 2A– 1= [(1-tan2A)/(1 + tan2A)]  \n● tan 2A = (2 tan A)/(1-tan 2A)  \nTriple Angle Formulas  \n● sin 3A = 3 sinA– 4 sin 3A  \n● cos 3A = 4 cos 3A– 3cosA  \n● tan 3A = [3 tanA– tan3A]/[1 − 3 tan2A]","cbCaiuSOXAEDZ3Vr","https://ap.wps.com/l/cbCaiuSOXAEDZ3Vr","pdf",344321,"English","# Basic Trigonometric formulas\n## Trigonometric ratios\n## Reciprocal relations between trigonometric ratios\n# Trigonometric sign functions\n# Trigonometric identities and periodic identities\n# Complementary ratios by quadrant\n# Sum and difference of two angles\n# Double angle formulas\n# Triple angle formulas","[{\"question\":\"What are the basic trigonometric ratios for Class 10?\",\"answer\":\"The document lists sinA, cosA, tanA, cotA, cosecA, and secA, along with their corresponding geometric interpretations (perpendicular/base/hypotenuse relationships).\"},{\"question\":\"What reciprocal relations connect the trigonometric ratios?\",\"answer\":\"It provides tanA = sinA/cosA, cotA = cosA/sinA, cosecA = 1/sinA, and secA = 1/cosA.\"},{\"question\":\"Which angle formulas are included for solving trig problems?\",\"answer\":\"It includes identities for sum and difference of two angles, double-angle formulas, and triple-angle formulas for sin, cos, and tan.\"}]","Trigonometry Formulas For Class 10 - Basic Trigonometric Formulas, Identities & Angle Formulas | PDF"]