{"id":156462,"date":"2022-03-26T01:47:01","date_gmt":"2022-03-25T20:17:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/graphical-representation-of-inverse-trigonometric-functions\/"},"modified":"2022-12-22T21:39:07","modified_gmt":"2022-12-22T16:09:07","slug":"graphical-representation-of-inverse-trigonometric-functions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/","title":{"rendered":"Graphical Representation of Inverse Trigonometric Functions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#Domain_and_Range_of_Inverse_Trigonometric_Formulas\" title=\"Domain and Range of Inverse Trigonometric Formulas\">Domain and Range of Inverse Trigonometric Formulas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#The_Formula_of_Inverse_Trigonometric_Functions\" title=\"The Formula of Inverse Trigonometric Functions\">The Formula of Inverse Trigonometric Functions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#Graph_of_Inverse_Trigonometric_Function\" title=\"Graph of Inverse Trigonometric Function\">Graph of Inverse Trigonometric Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#1_-_Arcsine_Function\" title=\"1 &#8211; Arcsine Function\">1 &#8211; Arcsine Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#2_-_Arccosine_Function\" title=\"2 &#8211; Arccosine Function\">2 &#8211; Arccosine Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#3_-_Arctangent_Function\" title=\"3 &#8211; Arctangent Function\">3 &#8211; Arctangent Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#4_-_Arccotangent_Function\" title=\"4 &#8211; Arccotangent Function\">4 &#8211; Arccotangent Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#5_-_Arcsecant_Function\" title=\"5 &#8211; Arcsecant Function\">5 &#8211; Arcsecant Function<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#6_-_Arccosecant_Function\" title=\"6 &#8211; Arccosecant Function\">6 &#8211; Arccosecant Function<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Domain_and_Range_of_Inverse_Trigonometric_Formulas\"><\/span>Domain and Range of Inverse Trigonometric Formulas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Domain: The domain of the inverse trigonometric function is the set of all real numbers.<\/p>\n<p>Range: The range of the inverse trigonometric function is the set of all real numbers.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156461 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg?v=1648239419 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions-300x212.jpg?v=1648239419 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Formula_of_Inverse_Trigonometric_Functions\"><\/span>The Formula of Inverse Trigonometric Functions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The inverse trigonometric functions are the inverse of the trigonometric functions. The inverse trigonometric functions are:<\/p>\n<p>sin-1(x)<\/p>\n<p>cos-1(x)<\/p>\n<p>tan-1(x)<\/p>\n<p>cot-1(x)<\/p>\n<p>sec-1(x)<\/p>\n<p>csc-1(x)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Graph_of_Inverse_Trigonometric_Function\"><\/span>Graph of Inverse Trigonometric Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The graph of inverse trigonometric function is a curve that shows the inverse relationship between the angle of incidence and the angle of reflection. It starts from the point (0, 1) and goes up to the point (1, 0).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"1_-_Arcsine_Function\"><\/span>1 &#8211; Arcsine Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arcsine function, or inverse sine function, is a mathematical function that takes a real number and returns the angle in radians that is the sine of that number.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"2_-_Arccosine_Function\"><\/span>2 &#8211; Arccosine Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arccosine function is a mathematical function that calculates the angle of a point on a unit circle from the x-coordinate. It is written as arccos(x) or arc cosine(x), and it returns a value in radians. The arccosine function is also known as the inverse cosine function.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"3_-_Arctangent_Function\"><\/span>3 &#8211; Arctangent Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arctangent function is a real-valued function that takes a real number as input and outputs the arctangent of that number. The arctangent function is defined as:<\/p>\n<p>arctangent(x) = atan(x)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"4_-_Arccotangent_Function\"><\/span>4 &#8211; Arccotangent Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arccotangent function is a function that takes in a real number and outputs the arc cotangent of that number. The arc cotangent of a number is the inverse of the cotangent function, so it calculates the angle of a cotangent line from 0 to pi radians.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"5_-_Arcsecant_Function\"><\/span>5 &#8211; Arcsecant Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arcsecant function is the inverse of the secant function. It calculates the angle between two points on a unit circle, given the x- and y-coordinates of those points.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"6_-_Arccosecant_Function\"><\/span>6 &#8211; Arccosecant Function<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arccosecant function is the inverse of the arccosine function. It is used to find angles in radians that are in the range of &#8211; \u03c0\/2 to \u03c0\/2.<\/p>\n<p>The arccosecant function is written as arccosec(x) and it takes the value of x as its input.<\/p>\n<h2><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Domain and Range of Inverse Trigonometric Formulas Domain: The domain of the inverse trigonometric function is the set of all [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Graphical Representation of Inverse Trigonometric Functions","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","custom_permalink":"maths\/graphical-representation-of-inverse-trigonometric-functions\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Graphical Representation of Inverse Trigonometric Functions - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Graphical Representation of Inverse Trigonometric Functions - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T20:17:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-22T16:09:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Graphical Representation of Inverse Trigonometric Functions - Infinity Learn by Sri Chaitanya","description":"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/","og_locale":"en_US","og_type":"article","og_title":"Graphical Representation of Inverse Trigonometric Functions - Infinity Learn by Sri Chaitanya","og_description":"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T20:17:01+00:00","article_modified_time":"2022-12-22T16:09:07+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg?v=1648239419","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg?v=1648239419","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/","name":"Graphical Representation of Inverse Trigonometric Functions - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#primaryimage"},"datePublished":"2022-03-25T20:17:01+00:00","dateModified":"2022-12-22T16:09:07+00:00","description":"Learn about Graphical Representation of Inverse Trigonometric Functions topic of Maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Graphical Representation of Inverse Trigonometric Functions"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Graphical Representation of Inverse Trigonometric Functions","datePublished":"2022-03-25T20:17:01+00:00","dateModified":"2022-12-22T16:09:07+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#webpage"},"wordCount":363,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/graphical-representation-of-inverse-trigonometric-functions\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/graphical-representation-of-inverse-trigonometric-functions.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/156462"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=156462"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/156462\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=156462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=156462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=156462"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=156462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}