{"id":9277,"date":"2018-02-09T14:25:20","date_gmt":"2018-02-09T08:55:20","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=9277"},"modified":"2019-03-02T15:20:33","modified_gmt":"2019-03-02T09:50:33","slug":"inverse-trigonometric-functions-class-12-notes-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/inverse-trigonometric-functions-class-12-notes-mathematics\/","title":{"rendered":"Inverse Trigonometric Functions Class 12 Notes Mathematics"},"content":{"rendered":"<p><strong>Inverse Trigonometric Functions class 12 Notes Mathematics<\/strong> in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Inverse Trigonometric Functions class 12 Notes latest chapter wise notes for quick preparation of CBSE board exams and school-based annual examinations. Class 12 Mathematics notes on chapter 2 Inverse Trigonometric Functions are also available for download in CBSE Guide website.<\/p>\n<h2>Inverse Trigonometric Functions Class 12 Notes Mathematics<\/h2>\n<p>Download CBSE class 12th revision notes for chapter 2 Inverse Trigonometric Functions in PDF format for free. Download revision notes for Inverse Trigonometric Functions class 12 Notes and score high in exams. These are the Inverse Trigonometric Functions class 12 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 2 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.<\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-12-mathematics\/1284\/cbse-revision-notes\/7\/\">Download Revision Notes as PDF<\/a><\/strong><\/p>\n<h2><strong>CBSE Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions<br \/>\n<\/strong><\/h2>\n<ul>\n<li>The domains and ranges (principal value branches) of inverse trigonometric functions are given in the following table:<\/li>\n<\/ul>\n<table class=\"mobile\" border=\"1\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><strong>Functions<\/strong><\/td>\n<td><strong>Domain<\/strong><\/td>\n<td><strong>Range (Principal Value Branches)<\/strong><\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image001.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"79\" height=\"26\" \/><\/td>\n<td>[-1, 1]<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image002.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"58\" height=\"45\" \/><\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image003.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"75\" height=\"26\" \/><\/td>\n<td>[-1, 1]<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image004.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"42\" height=\"27\" \/><\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image005.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"88\" height=\"26\" \/><\/td>\n<td>R- [-1, 1]<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image002.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"58\" height=\"45\" \/> &#8211; {0}<\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image006.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"74\" height=\"26\" \/><\/td>\n<td>R-[-1, 1]<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image007.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"74\" height=\"42\" \/><\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image008.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"75\" height=\"26\" \/><\/td>\n<td>R<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image009.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"65\" height=\"45\" \/><\/td>\n<\/tr>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image010.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"74\" height=\"26\" \/><\/td>\n<td>R<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image011.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"38\" height=\"27\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image012.png\" \/> should not be confused with <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image013.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"57\" height=\"26\" \/>. In fact <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image014.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"106\" height=\"42\" \/> And similarly for other trigonometric functions.<\/li>\n<li>The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions.<\/li>\n<li><strong>For suitable values of domain, we have<\/strong><\/li>\n<\/ul>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image015.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"174\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image016.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"180\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image017.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"112\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image018.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"112\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image019.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"135\" height=\"42\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image020.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"164\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image021.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"117\" height=\"42\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image022.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"149\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image023.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"117\" height=\"42\" \/><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cot ^{ - 1}}{1 \\over x} = {\\tan ^{ - 1}}x\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"126\" height=\"34\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\cos e{c^{ - 1}}{1 \\over x} = {\\sin ^{ - 1}}x\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"141\" height=\"34\" \/><\/span><\/span><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image024.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"149\" height=\"26\" \/><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{ - 1}}{1 \\over x} = {\\cos ^{ - 1}}x\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"124\" height=\"34\" \/><\/span><\/span><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image025.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"144\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image026.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"147\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image027.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"135\" height=\"42\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image028.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"178\" height=\"26\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image029.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"148\" height=\"42\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image030.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"135\" height=\"42\" \/><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{ - 1}}x + o{\\cos ^{ - 1}}y = {\\cos ^{ - 1}}\\left( {xy - \\sqrt {1 - {x^2}} \\sqrt {1 - {y^2}} } \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"371\" height=\"31\" \/><\/span><\/span><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image031.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"197\" height=\"44\" \/><\/p>\n<p>\u2022 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/12\/mathematics\/ch02\/image033.png\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"197\" height=\"44\" \/><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{ - 1}}x + {\\tan ^{ - 1}}y + {\\tan ^{ - 1}}z\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"192\" height=\"18\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{ - 1}}\\left( {{{x + y + z - xyz} \\over {1 - xy - yz - zx}}} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"192\" height=\"41\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?2{\\sin ^{ - 1}}x = {\\sin ^{ - 1}}\\left( {2x\\sqrt {1 - {x^2}} } \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"216\" height=\"31\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?2{\\cos ^{ - 1}}x = {\\cos ^{ - 1}}\\left( {2{x^2} - 1} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"190\" height=\"21\" \/><\/span><\/span><\/p>\n<p>\u2022 <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?2{\\tan ^{ - 1}}x = {\\sin ^{ - 1}}\\left( {{{2x} \\over {1 + {x^2}}}} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"193\" height=\"41\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{ - 1}}\\left( {{{1 - {x^2}} \\over {1 + {x^2}}}} \\right) = {\\tan ^{ - 1}}\\left( {{{2x} \\over {1 - \\sqrt x }}} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"261\" height=\"42\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?3{\\sin ^{ - 1}}x = {\\sin ^{ - 1}}\\left( {3x - 4{x^3}} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"196\" height=\"21\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?3{\\cos ^{ - 1}}x = {\\cos ^{ - 1}}\\left( {4{x^3} - 3x} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"200\" height=\"21\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?3{\\tan ^{ - 1}}x = {\\tan ^{ - 1}}\\left( {{{3x - {x^3}} \\over {1 - 3{x^2}}}} \\right)\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"207\" height=\"42\" \/><\/span><\/span><\/p>\n<p><strong>Conversion<\/strong>:<\/p>\n<ul>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sin ^{ - 1}}x = {\\cos ^{ - 1}}\\sqrt {1 - {x^2}}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"172\" height=\"21\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{ - 1}}{x \\over {\\sqrt {1 - {x^2}} }} = {\\cot ^{ - 1}}{{\\sqrt {1 - {x^2}} } \\over x}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"229\" height=\"42\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{^{ - 1}}}{1 \\over {\\sqrt {1 - {x^2}} }} = \\cos e{c^{ - 1}}{1 \\over x}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"193\" height=\"38\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{ - 1}}x = {\\sin ^{ - 1}}\\sqrt {1 - {x^2}}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"172\" height=\"21\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{^{ - 1}}}{{\\sqrt {1 - {x^2}} } \\over x} = {\\cot ^{ - 1}}{x \\over {\\sqrt {1 - {x^2}} }}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"228\" height=\"42\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{^{ - 1}}}{1 \\over x} = \\cos e{c^{ - 1}}{1 \\over {\\sqrt {1 - {x^2}} }}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"193\" height=\"38\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{^{ - 1}}}x = {\\sin ^{ - 1}}{x \\over {\\sqrt {1 + {x^2}} }}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"172\" height=\"34\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{^{ - 1}}}{1 \\over {\\sqrt {1 + {x^2}} }} = {\\sec ^{ - 1}}\\sqrt {1 + {x^2}}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"226\" height=\"38\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\cos e{c^{^{ - 1}}}{{\\sqrt {1 + {x^2}} } \\over x} = {\\cot ^{ - 1}}{1 \\over x}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cot ^{^{ - 1}}}x = {\\sin ^{ - 1}}{1 \\over {\\sqrt {1 + {x^2}} }}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"170\" height=\"38\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{^{ - 1}}}{x \\over {\\sqrt {1 + {x^2}} }} = {\\sec ^{ - 1}}{1 \\over x}\" alt=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" width=\"175\" height=\"38\" \/><\/span><\/span>= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{^{ - 1}}}{{\\sqrt {1 + {x^2}} } \\over x} = \\cos e{c^{ - 1}}\\sqrt {1 + {x^2}}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{^{ - 1}}}x = {\\tan ^{ - 1}}{{\\sqrt {{x^2} - 1} } \\over 1}\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cot ^{^{ - 1}}}{1 \\over {\\sqrt {{x^2} - 1} }} = {\\sin ^{ - 1}}{{\\sqrt {{x^2} - 1} } \\over x}\" \/><\/span><\/span>\u00a0= <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cos ^{^{ - 1}}}{1 \\over x} = \\cos e{c^{ - 1}}{x \\over {\\sqrt {{x^2} - 1} }}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\cos e{c^{^{ - 1}}}x = {\\sin ^{ - 1}}{1 \\over x}\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{^{ - 1}}}{1 \\over {\\sqrt {{x^2} - 1} }} = {\\cot ^{ - 1}}\\sqrt {{x^2} - 1}\" \/><\/span><\/span>=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\sec ^{^{ - 1}}}{x \\over {\\sqrt {{x^2} - 1} }} = {\\cos ^{ - 1}}{{\\sqrt {{x^2} - 1} } \\over x}\" \/><\/span><\/span><\/li>\n<\/ul>\n<p><strong>Some other properties of Inverse Trigonometric Function<\/strong>:<\/p>\n<ul>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{^{ - 1}}}{x \\over {\\sqrt {{a^2} - {x^2}} }} = {\\sin ^{ - 1}}{x \\over a}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cot ^{^{ - 1}}}{x \\over {\\sqrt {{a^2} - {x^2}} }} = {\\cos ^{ - 1}}{x \\over a}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\tan ^{^{ - 1}}}{a \\over {\\sqrt {{x^2} - {a^2}} }} = \\cos e{c^{ - 1}}{x \\over a}\" \/><\/span><\/span><\/li>\n<li><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\cot ^{^{ - 1}}}{a \\over {\\sqrt {{x^2} - {a^2}} }} = {\\sec ^{ - 1}}{x \\over a}\" \/><\/span><\/span><\/li>\n<\/ul>\n<h2><strong>CBSE Class 12 Revision Notes and Key Points<\/strong><\/h2>\n<p>Inverse Trigonometric Functions class 12 Notes Mathematics. CBSE quick revision note for class-12 Chemistry Physics Math\u2019s, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-physics\/1251\/cbse-revision-notes\/7\/\">Physics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-chemistry\/1267\/cbse-revision-notes\/7\/\">Chemistry<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-mathematics\/1284\/cbse-revision-notes\/7\/\">Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-biology\/1298\/cbse-revision-notes\/7\/\">Biology<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-accountancy\/1315\/cbse-revision-notes\/7\/\">Accountancy<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-economics\/1327\/cbse-revision-notes\/7\/\">Economics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-business-studies\/1727\/cbse-revision-notes\/7\/\">Business Studies<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-computer-science\/1851\/cbse-revision-notes\/7\/\">Computer Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-informatics-practices\/1873\/cbse-revision-notes\/7\/\">Informatics Practices<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-english-core\/1855\/cbse-revision-notes\/7\/\">English Core<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-history\/1869\/cbse-revision-notes\/7\/\">History<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-12-physical-education\/1877\/cbse-revision-notes\/7\/\">Physical Education<\/a><\/li>\n<\/ul>\n<p>To download Inverse Trigonometric Functions class 12 Notes, sample paper for class 12 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT Inverse Trigonometric Functions, NCERT Exemplar Inverse Trigonometric Functions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample P, per all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<ul>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/relations-functions-class-12-notes-mathematics\/\">Relations and Functions class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/matrices-class-12-notes-mathematics\/\">Matrices class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/determinants-class-12-notes-mathematics\/\">Determinants class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/continuity-differentiability-class-12-notes-mathematics\/\">Continuity and Differentiability class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/application-derivatives-class-12-notes-mathematics\/\">Application of Derivatives class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/integrals-class-12-notes-mathematics\/\">Integrals class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/application-integrals-class-12-notes-mathematics\/\">Application of Integrals class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/differential-equations-class-12-notes-mathematics\/\">Differential Equations class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/vector-algebra-class-12-notes-mathematics\/\">Vector Algebra class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/three-dimensional-geometry-class-12-notes-mathematics\/\">Three Dimensional Geometry class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/linear-programming-class-12-notes-mathematics\/\">Linear Programming class 12 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/probability-class-12-notes-mathematics\/\">Probability class 12 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Inverse Trigonometric Functions class 12 Notes Mathematics in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Inverse Trigonometric Functions class 12 Notes latest chapter wise notes for quick preparation of CBSE board exams and school-based annual examinations. Class 12 Mathematics notes on chapter 2 Inverse &#8230; <a title=\"Inverse Trigonometric Functions Class 12 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/inverse-trigonometric-functions-class-12-notes-mathematics\/\" aria-label=\"More on Inverse Trigonometric Functions Class 12 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":9266,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[48,456],"tags":[457,150,552,461,426,240],"class_list":["post-9277","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-12","category-revision-notes","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-inverse-trigonometric-functions","tag-mathematics-notes","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - 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