{"id":617793,"date":"2023-02-27T08:44:27","date_gmt":"2023-02-27T08:44:27","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=617793"},"modified":"2024-05-02T10:13:48","modified_gmt":"2024-05-02T10:13:48","slug":"ncert-exemplar-class-12-maths-chapter-2-inverse-trigonometric-function","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-12-maths-chapter-2-inverse-trigonometric-function\/","title":{"rendered":"NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function"},"content":{"rendered":"\n<p>NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function. NCERT Exemplar Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Function prepare students for their Class 12 exams thoroughly. <\/p>\n\n\n\n<p>Maths problems and solutions for the Class 12 pdf are provided here which are similar to the questions being asked in the previous year&#8217;s board. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-exemplar-class-12-maths-chapter-2-inverse-trigonometric-function\"><strong>NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function<\/strong><\/h2>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>2.1 Overview<\/strong><br><strong>2.1.1 Inverse function<\/strong><br>Inverse of a function \u2018f \u2019 exists, if the function is one-one and onto, i.e, bijective. Since trigonometric functions are many-one over their domains, we restrict their domains and co-domains in order to make them one-one and onto and then find their inverse. The domains and ranges (principal value branches) of inverse trigonometric functions are given below:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058219548_0930ed86af_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p><strong>Notes:<\/strong><br>(i) The symbol sin<sup>-1<\/sup>x should not be confused with (sinx)<sup>-1<\/sup>&nbsp;. Infact sin<sup>-1<\/sup>x is an angle, the value of whose sine is x, similarly for other trigonometric functions.<br>(ii) The smallest numerical value, either positive or negative, of \u03b8 is called the principal value of the function.<br>(iii) Whenever no branch of an inverse trigonometric function is mentioned, we mean the principal value branch. The value of the inverse trigonometic function which lies in the range of principal branch is its principal value.<\/p>\n\n\n\n<p><strong>2.1.2 Graph of an inverse trigonometric function<\/strong><br>The graph of an inverse trigonometric function can be obtained from the graph of original function by interchanging x-axis and y-axis, i.e, if (a, b) is a point on the graph of trigonometric function, then (b, a) becomes the corresponding point on the graph of its inverse trigonometric function.<br>It can be shown that the graph of an inverse function can be obtained from the corresponding graph of original function as a mirror image (i.e., reflection) along the line y = x.<\/p>\n\n\n\n<p><strong>2.1.3 Properties of inverse trigonometric functions<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058245768_7c917efe02_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058980962_3aa60b6d9d_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Short Answer Type Questions (Solved Examples)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058265858_37f06a80f4_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058777071_0cb28fafdc_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059001787_d5333856a7_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058776981_331cef7a05_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059001687_cd2c43be9b_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059001652_7d3562fdac_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059001522_b1743d2a1f_o.png\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Long Answer Type Questions (Solved Examples)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058792681_b951acd276_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058281453_1b2c378825_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058281448_4da2a4f105_o.png\"><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059017312_67c91f0ae9_o.png\"><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058792566_a0c54269af_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059017192_05d9a40f56_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059017157_84aa1d8af6_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059017107_ce424c62fb_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058281208_8e0e8a0421_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Objective type questions (Solved Examples)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312543_360c8a6f73_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312508_1062446697_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058824316_770c7c255c_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312378_504cfd952e_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058824241_ff5e9655ac_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058824191_b038a7520a_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312278_a8dfce592c_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058824106_ffe4f58e86_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312183_c3d5cbdf9f_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059048372_7eede48a02_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059048357_5d0d5873b5_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>Click Here&nbsp;to download NCERT Exemplar Class 12 Maths Unit 2 Inverse Trigonometric Function.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058312058_627907bccb_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059048272_ac4ee803fa_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Short Answer Type Questions (Exercise)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/15607063838_273d57d965_o.jpg\" alt=\"Class 12 Important Questions for Maths -\u00a0Inverse Trigonometric Function\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Long Answer Type Questions (Exercise)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/15607635550_d551fe9701_o.jpg\" alt=\"Class 12 Important Questions for Maths -\u00a0Inverse Trigonometric Function\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Multiple Choice Questions (Exercise)<\/h3>\n\n\n\n<p>Click Here&nbsp;to download NCERT Exemplar Class 12 Maths Unit 2 Inverse Trigonometric Function.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Fill In Blanks Type Questions (Exercise)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/15790597761_1e6056719b_o.jpg\" alt=\"Class 12 Important Questions for Maths -\u00a0Inverse Trigonometric Function\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">True or False Statements Type Questions (Exercise)<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/15607063738_ac17c1c122_o.jpg\" alt=\"Class 12 Important Questions for Maths -\u00a0Inverse Trigonometric Function\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Answers<\/h2>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49059080527_e31c9b81f8_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2024\/05\/49058856056_303518634c_o.png\" alt=\"\"\/><\/figure>\n\n\n\n<p>Class 12: Maths Chapter 2 solutions. Complete Class 12 Maths Chapter 2 Notes.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-problems-solutions\/\" style=\"background-color:#f06d6d\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Exemplar Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-12-Maths-important-questions\/\" style=\"background-color:#f06d6d\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT Class 12 Exemplar Solutions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function. NCERT Exemplar Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Function prepare students for their Class 12 exams thoroughly. Maths problems and solutions for the Class 12 pdf are provided here which are similar to the questions being asked in the previous year&#8217;s board. [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":617840,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,25],"tags":[],"boards":[],"class_list":["post-617793","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-12","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Exemplar for Class 12, Maths Chapter 2 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function | Browse all Class 12 Maths Chapters NCERT Exemplar books - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-exemplar-class-12-maths-chapter-2-inverse-trigonometric-function\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function\" \/>\n<meta property=\"og:description\" content=\"NCERT Exemplar Class 12 Maths Chapter 2: Inverse Trigonometric Function. 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