{"id":1852,"date":"2026-05-21T09:09:53","date_gmt":"2026-05-21T09:09:53","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=1852"},"modified":"2026-05-21T09:09:58","modified_gmt":"2026-05-21T09:09:58","slug":"inverse-trigonometric-functions-exercise-2-1-solutions","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/inverse-trigonometric-functions-exercise-2-1-solutions\/","title":{"rendered":"Inverse Trigonometric Functions Exercise 2.1 Solutions"},"content":{"rendered":"<div class=\"mymoc-top mymoc-entity-placement\" id=\"mymoc-1683006842\"><div id=\"mymoc-1354374214\"><a href=\"https:\/\/amzn.to\/4v5gV6P\" aria-label=\"calculators\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators.png 1302w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-300x99.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-1024x338.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/calculators-768x254.png 768w\" sizes=\"(max-width: 1302px) 100vw, 1302px\" width=\"1302\" height=\"430\"><\/a><\/div><\/div><div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1852?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">9<\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">In this post, students can find complete step-by-step solutions for Class 12 Maths Chapter 2 Exercise 2.1 &ndash; Inverse Trigonometric Functions based on the latest NCERT syllabus. This exercise covers principal values, domains and ranges of inverse trigonometric functions, and evaluation of inverse trigonometric expressions in a simple and exam-oriented format.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Item<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Board<\/td><td>NCERT \/ CBSE<\/td><\/tr><tr><td>Class<\/td><td>12<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Chapter<\/td><td>Inverse Trigonometric Functions<\/td><\/tr><tr><td>Exercise<\/td><td>2.1<\/td><\/tr><tr><td>Main Topics<\/td><td>Principal Values<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Principal Value Branch<\/li>\n\n\n\n<li>Inverse Sine Function<\/li>\n\n\n\n<li>Inverse Cosine Function<\/li>\n\n\n\n<li>Inverse Tangent Function<\/li>\n\n\n\n<li>Inverse Cotangent Function<\/li>\n\n\n\n<li>Inverse Secant Function<\/li>\n\n\n\n<li>Inverse Cosecant Function<\/li>\n\n\n\n<li>Domain &amp; Range of Inverse Trigonometric Functions<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The chapter explains principal value branches of inverse trigonometric functions.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Principal Value Range of sin&#8315;&sup1;x<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><mo>&isin;<\/mo><mrow><mo fence=\"true\">[<\/mo><mo>&minus;<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo separator=\"true\">,<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo fence=\"true\">]<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\sin^{-1}x\\in\\left[-\\frac{\\pi}{2},\\frac{\\pi}{2}\\right]<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Principal Value Range of cos&#8315;&sup1;x<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><mo>&isin;<\/mo><mo stretchy=\"false\">[<\/mo><mn>0<\/mn><mo separator=\"true\">,<\/mo><mi>&pi;<\/mi><mo stretchy=\"false\">]<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}x\\in[0,\\pi]<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Principal Value Range of tan&#8315;&sup1;x<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><mo>&isin;<\/mo><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo separator=\"true\">,<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}x\\in\\left(-\\frac{\\pi}{2},\\frac{\\pi}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Principal Value Range of cot&#8315;&sup1;x<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cot<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><mo>&isin;<\/mo><mo stretchy=\"false\">(<\/mo><mn>0<\/mn><mo separator=\"true\">,<\/mo><mi>&pi;<\/mi><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cot^{-1}x\\in(0,\\pi)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/relations-and-functions-exercise-1-1-solutions-class-12\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Relations and Functions Exercise 1.1 Solutions Class 12<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\sin^{-1}\\left(-\\frac{1}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sin(&minus;&pi;\/6)=&minus;1\/2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Principal value range of:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sin&#8315;&sup1;x<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>[&minus;&pi;\/2, &pi;\/2]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &minus;&pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 2<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/relations-and-functions-exercise-1-2-solutions-class-12\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Relations and Functions Exercise 1.2 Solutions Class 12<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mfrac><msqrt><mn>3<\/mn><\/msqrt><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}\\left(\\frac{\\sqrt{3}}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p><div class=\"mymoc-middle mymoc-entity-placement\" id=\"mymoc-4125803260\"><div id=\"mymoc-4022093196\"><a href=\"https:\/\/amzn.to\/43YYZi3\" aria-label=\"smart-phones\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones.png 1303w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-300x76.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-1024x259.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/smart-phones-768x194.png 768w\" sizes=\"(max-width: 1303px) 100vw, 1303px\" width=\"1303\" height=\"329\"><\/a><\/div><\/div>\n\n\n\n<pre class=\"wp-block-code\"><code>cos(&pi;\/6)=&radic;3\/2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Principal value range of:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cos&#8315;&sup1;x<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>[0, &pi;]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 3<\/h1>\n\n\n\n<div class=\"internal-linking-related-contents\"><a href=\"https:\/\/mymockmate.com\/notes\/miscellaneous-exercise-solutions-class-12-relations-functions\/\" class=\"template-2\"><span class=\"cta\">Related Topic to Read more<\/span><span class=\"postTitle\">Miscellaneous Exercise Solutions Class 12 Relations Functions<\/span><\/a><\/div><p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cosec<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cosec^{-1}(2)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cosec(&pi;\/6)=2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 4<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mo>&minus;<\/mo><msqrt><mn>3<\/mn><\/msqrt><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}(-\\sqrt{3})<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>tan(&minus;&pi;\/3)=&minus;&radic;3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &minus;&pi;\/3<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 5<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}\\left(-\\frac{1}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cos(2&pi;\/3)=&minus;1\/2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Since principal value range of cosine inverse is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>[0, &pi;]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = 2&pi;\/3<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 6<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mo>&minus;<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}(-1)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>tan(&minus;&pi;\/4)=&minus;1<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &minus;&pi;\/4<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 7<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>sec<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>2<\/mn><msqrt><mn>3<\/mn><\/msqrt><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\sec^{-1}\\left(-\\frac{2}{\\sqrt{3}}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sec(5&pi;\/6)=&minus;2\/&radic;3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = 5&pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 8<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cot<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><msqrt><mn>3<\/mn><\/msqrt><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cot^{-1}(\\sqrt{3})<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cot(&pi;\/6)=&radic;3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 9<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><msqrt><mn>2<\/mn><\/msqrt><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}\\left(-\\frac{1}{\\sqrt{2}}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cos(3&pi;\/4)=&minus;1\/&radic;2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = 3&pi;\/4<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 10<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cosec<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mo>&minus;<\/mo><msqrt><mn>2<\/mn><\/msqrt><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\cosec^{-1}(-\\sqrt{2})<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cosec(&minus;&pi;\/4)=&minus;&radic;2<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &minus;&pi;\/4<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 11<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find the value of:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><mo>+<\/mo><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}(1)+\\cos^{-1}\\left(-\\frac{1}{2}\\right)+\\sin^{-1}\\left(-\\frac{1}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Using standard values:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>tan&#8315;&sup1;(1)=&pi;\/4<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>cos&#8315;&sup1;(&minus;1\/2)=2&pi;\/3<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>sin&#8315;&sup1;(&minus;1\/2)=&minus;&pi;\/6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Adding:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&pi;\/4 + 2&pi;\/3 &minus; &pi;\/6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">LCM = 12<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>= 3&pi;\/12 + 8&pi;\/12 &minus; 2&pi;\/12<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = 3&pi;\/4<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 12<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Find:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mo>+<\/mo><mn>2<\/mn><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}\\left(\\frac{1}{2}\\right)+2\\sin^{-1}\\left(\\frac{1}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Using standard values:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>cos&#8315;&sup1;(1\/2)=&pi;\/3<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>sin&#8315;&sup1;(1\/2)=&pi;\/6<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&pi;\/3 + 2(&pi;\/6)<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code>= &pi;\/3 + &pi;\/3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = 2&pi;\/3<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 13<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">If:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><mo>=<\/mo><mi>y<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\sin^{-1}x=y<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">then:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Range of:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sin&#8315;&sup1;x<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>[&minus;&pi;\/2, &pi;\/2]<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore correct option is:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(B)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Question 14<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Evaluate:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><msqrt><mn>3<\/mn><\/msqrt><mo stretchy=\"false\">)<\/mo><mo>&minus;<\/mo><msup><mrow><mi>sec<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mo>&minus;<\/mo><mn>2<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}(\\sqrt{3})-\\sec^{-1}(-2)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We know:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>tan&#8315;&sup1;(&radic;3)=&pi;\/3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">and:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sec&#8315;&sup1;(&minus;2)=2&pi;\/3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&pi;\/3 &minus; 2&pi;\/3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Hence:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Answer = &minus;&pi;\/3<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">Correct option:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(B)<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ignoring principal value ranges<\/li>\n\n\n\n<li>Confusing sin&#8315;&sup1;x with 1\/sinx<\/li>\n\n\n\n<li>Using wrong quadrant values<\/li>\n\n\n\n<li>Forgetting domain restrictions<\/li>\n\n\n\n<li>Wrong sign in inverse functions<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Memorize standard inverse trigonometric values.<\/li>\n\n\n\n<li>Always check principal value branch.<\/li>\n\n\n\n<li>Use unit circle for quick answers.<\/li>\n\n\n\n<li>Practice simplification regularly.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Principal value range of:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>cos<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\cos^{-1}x<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. [&minus;&pi;\/2, &pi;\/2]<br>B. [0, &pi;]<br>C. R<br>D. (&minus;&pi;, &pi;)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. [0, &pi;]<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 2<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Value of:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>tan<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\tan^{-1}(1)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. &pi;<br>B. &pi;\/2<br>C. &pi;\/4<br>D. 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C. &pi;\/4<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">MCQ 3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Value of:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msup><mrow><mi>sin<\/mi><mo>&#8289;<\/mo><\/mrow><mrow><mo>&minus;<\/mo><mn>1<\/mn><\/mrow><\/msup><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><\/mrow><annotation encoding=\"application\/x-tex\">\\sin^{-1}\\left(-\\frac{1}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">is:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A. &pi;\/6<br>B. &minus;&pi;\/6<br>C. 5&pi;\/6<br>D. &minus;5&pi;\/6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. &minus;&pi;\/6<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">What is principal value?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The value lying in the principal branch of inverse trigonometric function.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">What is the range of sin&#8315;&sup1;x?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">[<\/mo><mo>&minus;<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo separator=\"true\">,<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo fence=\"true\">]<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\left[-\\frac{\\pi}{2},\\frac{\\pi}{2}\\right]<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">Is sin&#8315;&sup1;x equal to 1\/sinx?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">No.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sin&#8315;&sup1;x means inverse sine function.<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h2 class=\"wp-block-heading\">What is the range of tan&#8315;&sup1;x?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo fence=\"true\">(<\/mo><mo>&minus;<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo separator=\"true\">,<\/mo><mfrac><mi>&pi;<\/mi><mn>2<\/mn><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\left(-\\frac{\\pi}{2},\\frac{\\pi}{2}\\right)<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\">\n\n\n\n<h1 class=\"wp-block-heading\">CTA (Call To Action)<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">&#128216; Prepare Smarter with MyMockMate!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#9989; Chapter-wise NCERT Solutions<br>&#9989; Important Notes &amp; MCQs<br>&#9989; Online Mock Tests<br>&#9989; Instant Result &amp; Analysis<br>&#9989; CBSE Board Preparation<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Start learning now on <a target=\"_blank\" rel=\"noreferrer noopener\" href=\"https:\/\/www.mymockmate.com?utm_source=chatgpt.com\">MyMockMate<\/a><\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1852?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\"><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\">9<\/span><\/div><div class=\"mymoc-bottom mymoc-entity-placement\" id=\"mymoc-2469142261\"><div id=\"mymoc-1050996805\"><a href=\"https:\/\/amzn.to\/4uMTpup\" aria-label=\"books\"><img src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books.png\" alt=\"\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books.png 1301w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-300x56.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-1024x190.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/06\/books-768x143.png 768w\" sizes=\"(max-width: 1301px) 100vw, 1301px\" width=\"1301\" height=\"242\"><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p> 9 Short Intro In this post, students can find complete step-by-step solutions for Class 12 Maths Chapter 2 Exercise 2.1 &ndash; Inverse Trigonometric Functions&#8230;<\/p>\n","protected":false},"author":1,"featured_media":1853,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":""},"categories":[7,8],"tags":[187,175,226,174,205,85,78,221,217,219,220,216,218,227,213,214,225,223,76,53,47,215,222,224],"class_list":["post-1852","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-12","category-maths","tag-cbse-board-maths-preparation","tag-cbse-class-12-maths","tag-chapter-2-maths-solutions","tag-class-12-maths","tag-class-12-maths-notes","tag-exercise-2-1-ncert-solutions","tag-exercise-2-1-solutions","tag-inverse-cosecant-function","tag-inverse-cosine-function","tag-inverse-cotangent-function","tag-inverse-secant-function","tag-inverse-sine-function","tag-inverse-tangent-function","tag-inverse-trigonometric-formulas","tag-inverse-trigonometric-functions","tag-inverse-trigonometric-functions-chapter-2","tag-inverse-trigonometric-functions-mcqs","tag-inverse-trigonometric-identities","tag-maths-important-questions","tag-ncert-maths-solutions","tag-ncert-solutions","tag-principal-value-branch","tag-principal-value-problems","tag-trigonometric-functions"],"featured_image_src":"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/Inverse-Trigonometric-Functions-Exercise-2.1-Solutions.png","author_info":{"display_name":"Team Mymockmate","author_link":"https:\/\/mymockmate.com\/notes\/author\/bsm_adm\/"},"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1852","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=1852"}],"version-history":[{"count":1,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1852\/revisions"}],"predecessor-version":[{"id":1854,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/1852\/revisions\/1854"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/1853"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=1852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=1852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=1852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}