{"id":1069,"date":"2021-12-17T16:28:43","date_gmt":"2021-12-17T10:58:43","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1069"},"modified":"2022-11-19T18:14:11","modified_gmt":"2022-11-19T12:44:11","slug":"study-materials-ncert-solutions-class-12-maths-chapter-2-inverse-trigonometric-functions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 2 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-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/#22_Basic_Concepts\" title=\"2.2 Basic Concepts\">2.2 Basic Concepts<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/#23_Properties_of_Inverse_Trigonometric_Functions\" title=\"2.3 Properties of Inverse Trigonometric Functions\">2.3 Properties of Inverse Trigonometric Functions<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/#Key_Features_of_NCERT_Solutions_of_this_chapter\" title=\"Key Features of NCERT Solutions of this chapter\">Key Features of NCERT Solutions of this chapter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/#The_main_topics_included_are\" title=\"The main topics included are:\">The main topics included are:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/#Frequently_Asked_Questions_on_NCERT_Solutions_of_this_chapter\" title=\"Frequently Asked Questions on NCERT Solutions of this chapter\">Frequently Asked Questions on NCERT Solutions of this chapter<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 12pt;\"><b>NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions<\/b><\/span><\/p>\n<p><span data-contrast=\"auto\">In this chapter, students will study inverse trigonometric functions and their properties. Get used to the domains and ranges of inverse trigonometric functions by the solutions of Infinity Learn. During question-solving, students should remember that the value of an inverse trigonometric function, which lies in its principal value branch, is called the principal value of the given inverse trigonometric function. The topics in this chapter include:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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wpcf7-validates-as-required wpcf7-validates-as-number\" aria-required=\"true\" aria-invalid=\"false\" \/><\/span><\/p>\n<p><span style=\"display:none;\"><span class=\"wpcf7-form-control-wrap current-page-url\"><input type=\"text\" name=\"current-page-url\" value=\"https:\/\/_:443\/surge\/wp-json\/wp\/v2\/posts\/1069\" size=\"40\" class=\"wpcf7-form-control wpcf7dtx-dynamictext wpcf7-dynamictext\" aria-invalid=\"false\" \/><\/span><\/span><\/p>\n<style>.wpcf7-list-item{margin: 0 0.5em 0 0!important;}<\/style>\n<p class=\"title\" style=\"color: #6e6e6e;font-size:14px;font-weight:400;text-decoration: un;\"><span class=\"wpcf7-form-control-wrap acceptance-agreement\"><span class=\"wpcf7-form-control wpcf7-acceptance\"><span class=\"wpcf7-list-item\"><input type=\"checkbox\" name=\"acceptance-agreement\" value=\"1\" aria-invalid=\"false\" checked=\"checked\" \/><\/span><\/span><\/span> I agree to the <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/terms\" style=\"text-decoration: underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/11\/Chapter-2.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F11%2FChapter-2.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"40f89e649e\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Chapter 2<br\/><\/a>\n<p><span style=\"font-size: 12pt;\"><b>2.1 Introduction<\/b><\/span><\/p>\n<p><span data-contrast=\"auto\">Earlier, students have already studied functions and necessary conditions for the existence of the inverse function. Here, you got to know about the possibilities of defining an inverse trigonometric function.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"22_Basic_Concepts\"><\/span><span style=\"font-size: 12pt;\"><b>2.2 Basic Concepts<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span data-contrast=\"auto\">Students study trigonometric functions such as sine, cosine, tangent, cot, cosec, and sec in this portion. Also, the concept of an inverse trigonometric function, domain, and range of the inverse trigonometric function, finding the principal value of the inverse trigonometric function. Besides, graphs of inverse trigonometric functions are also learned<\/span><span data-contrast=\"auto\">.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"23_Properties_of_Inverse_Trigonometric_Functions\"><\/span><span style=\"font-size: 12pt;\"><b>2.3 Properties of Inverse Trigonometric Functions<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span data-contrast=\"auto\">In this part, students will learn the properties and relationships between the various trigonometric functions in terms of formulae.<\/span><\/p>\n<h4 aria-level=\"3\"><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Solutions_of_this_chapter\"><\/span><span style=\"font-size: 12pt;\"><b>Key Features of NCERT Solutions of this chapter<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li><span data-contrast=\"auto\">Subject experts make these NCERT exercises.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">Simple and understandable language was used.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">All questions are solved with perfect explanations.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"auto\">These NCERT Solutions are very helpful to students in their assignments and competitive exams.<\/span><\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"The_main_topics_included_are\"><\/span><b><span data-contrast=\"auto\">The main topics included are:<\/span><\/b><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<table style=\"width: 59.5178%; height: 120px;\" data-tablestyle=\"MsoNormalTable\" data-tablelook=\"1184\" aria-rowcount=\"4\">\n<tbody>\n<tr style=\"height: 48px;\" aria-rowindex=\"1\">\n<td style=\"height: 48px;\" data-celllook=\"69905\"><b><span data-contrast=\"auto\">Maths Class 12 NCERT Solutions Chapter 2 Exercises<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\" aria-rowindex=\"2\">\n<td style=\"height: 24px;\" data-celllook=\"69905\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions-exercise-2-1\/\" target=\"_blank\" rel=\"noopener\">Exercise 2.1 Class 12 Maths Solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\" aria-rowindex=\"3\">\n<td style=\"height: 24px;\" data-celllook=\"69905\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/exercise-2-2\/\" target=\"_blank\" rel=\"noopener\">Exercise 2.2 Class 12 Maths<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\" aria-rowindex=\"4\">\n<td style=\"height: 24px;\" data-celllook=\"69905\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions-exercise-miscellaneous\/\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise on Chapter 2 Class 12<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4 aria-level=\"2\"><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_NCERT_Solutions_of_this_chapter\"><\/span><span style=\"font-size: 14pt;\"><b>Frequently Asked Questions on NCERT Solutions of this chapter<\/b><\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>How many questions are present in NCERT Solutions of this chapter?<\/p>\n<p>This chapter has three exercises. The first exercise contains 12 short answers and 2 MCQs. The second exercise has 18 short answers and 3 MCQs. A miscellaneous exercise followed them with 14 short answers and 3 MCQs. The last exercise includes all the concepts which are covered in this chapter.<\/p>\n<p>Where can I find NCERT Solutions for this chapter online?<\/p>\n<p>Students can find the NCERT Solutions in this chapter on Infinity Learn. These NCERT Solutions are perfectly designed from which the students can rely without any hesitation. The PDF of solutions is available, which can be used by the students to avoid time constraints. The subject experts design the solutions based on the latest term-wise 2021-22 CBSE board syllabus. Students can boost their first exam preparation using the solutions module, which is also available chapter-wise.<\/p>\n<p>Are these NCERT Solutions helpful in the first term exam preparation?<\/p>\n<p>This chapter includes all the important topics based on the latest update of CBSE guidelines. This chapter provides four exercises, giving the students numerous problems to solve independently. The solutions are made to boost the confidence in the minds of students before appearing for the term I exams. These solutions are thus helpful for the term 1 exam.<\/p>\n<p>To read more visit <a href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-11\/physics\/chapter-9-mechanical-properties-of-solids\/\">NCERT Exemplar Solutions for Class 11 Physics Chapter 9 &amp;#8211; Mechanical Properties of Solids<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions In this chapter, students will study inverse trigonometric [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 12 Maths Chapter 2 Inverse Trigonometric Functions","_yoast_wpseo_title":"Class 12 Maths Chapter 2 Inverse Trigonometric Functions - NCERT","_yoast_wpseo_metadesc":"NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions solved by Expert Teachers as per NCERT (CBSE) Book guidelines.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-2-inverse-trigonometric-functions\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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