{"id":29285,"date":"2022-03-28T17:00:59","date_gmt":"2022-03-28T11:30:59","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=29285"},"modified":"2022-03-28T17:39:30","modified_gmt":"2022-03-28T12:09:30","slug":"ncert-solutions-for-class-12-maths-chapter-2-ex-2-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-2-ex-2-1\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1"},"content":{"rendered":"

These NCERT Solutions for Class 12 Maths<\/a> Chapter 2 Inverse Trigonometric Functions Ex 2.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-2-ex-2-1\/<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Exercise 2.1<\/h2>\n

\"NCERT<\/p>\n

Ex 2.1 Class 12 Question 1.<\/strong>
\nsin-1<\/sup>\\(\\frac { -1 }{ 2 }\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 2.
\ncos-1<\/sup>\\(\\left(\\frac{\\sqrt{3}}{2}\\right)\\)
\nSolution:
\n\"NCERT<\/p>\n

Question 3.
\ncosec-1<\/sup>(2)
\nSolution:
\nThe principal values branch of cosec-1<\/sup> is
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 4.
\ntan-1<\/sup>(-\\(\\sqrt{3}\\))
\nSolution:
\nThe principal values branch of tan-1<\/sup> is
\n\"NCERT<\/p>\n

Question 5.
\ncos-1<\/sup>\\(\\frac { – 1 }{ 2 }\\)
\nSolution:
\nThe principal values branch of cos-1<\/sup> is [0, \u03c0]
\n\"NCERT<\/p>\n

Question 6.
\ntan-1<\/sup>(-1)
\nSolution:
\nThe principal values branch of tan-1<\/sup> is
\n\"NCERT<\/p>\n

Question 7.
\nsec-1<\/sup>\\(\\left(\\frac{2}{\\sqrt{3}}\\right)\\)
\nSolution:
\nThe principal values branch of sec-1<\/sup> is
\n\"NCERT<\/p>\n

Question 8.
\ncot-1<\/sup>(\\(\\sqrt{3}\\))
\nSolution:
\nThe principal values branch of cot-1<\/sup> is [0, \u03c0]
\ncot\\(\\frac { \u03c0 }{ 6 }\\) = \\(\\sqrt{3}\\), \\(\\frac { \u03c0 }{ 6 }\\) \u2208 [0, \u03c0]
\n\u2234 Priciapal value of cot-1<\/sup>\\(\\sqrt{3}\\) is \\(\\frac { \u03c0 }{ 6 }\\)<\/p>\n

\"NCERT<\/p>\n

Question 9.
\ncos-1<\/sup>\\(\\left(\\frac{-1}{\\sqrt{2}}\\right)\\)
\nSolution:
\nThe principal values branch of cos-1<\/sup> is [0, \u03c0]
\n\"NCERT<\/p>\n

Question 10.
\ncosec-1<\/sup>(\\(\\sqrt{-2}\\))
\nSolution:
\nThe principal values branch of cosec-1<\/sup> is
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 11.
\ntan-1<\/sup>(1) + cos-1<\/sup>(\\(\\frac { – 1 }{ 2 }\\)) + sin-1<\/sup>(\\(\\frac { – 1 }{ 2 }\\))
\nSolution:
\n\"NCERT<\/p>\n

Question 12.
\ncos-1<\/sup>(\\(\\frac { 1 }{ 2 }\\)) + 2 sin-1<\/sup>(\\(\\frac { 1 }{ 2 }\\))
\nSolution:
\n\"NCERT<\/p>\n

Question 13.
\nIf sin-1<\/sup> x = y, then
\na. 0 \u2264 y \u2264 \u03c0
\nb. – \\(\\frac { \u03c0 }{ 2 }\\) \u2264 y \u2264 \\(\\frac { \u03c0 }{ 2 }\\)
\nc. 0 < y < \u03c0
\nd. – \\(\\frac { \u03c0 }{ 2 }\\) < y < \\(\\frac { \u03c0 }{ 2 }\\)
\nSolution:
\nb. – \\(\\frac { \u03c0 }{ 2 }\\) \u2264 y \u2264 \\(\\frac { \u03c0 }{ 2 }\\)
\nThe principal values branch of sin-1<\/sup> is
\n[\\(\\frac { – \u03c0 }{ 2 }\\), \\(\\frac { \u03c0 }{ 2 }\\)] . i.e., \\(\\frac { – \u03c0 }{ 2 }\\) \u2264 y \u2264 \\(\\frac { \u03c0 }{ 2 }\\)<\/p>\n

\"NCERT<\/p>\n

Question 14.
\ntan-1<\/sup>\\(\\sqrt{3}\\) – sec-1<\/sup> ( – 2) is equal to
\na. \u03c0
\nb . \\(\\frac { – \u03c0 }{ 3 }\\)
\nc. \\(\\frac { \u03c0 }{ 3 }\\)
\nd. \\(\\frac { 2\u03c0 }{ 3 }\\)
\nSolution:
\nb . \\(\\frac { – \u03c0 }{ 3 }\\)
\ntan-1<\/sup>\\(\\sqrt{3}\\) – sec-1<\/sup> ( – 2) = \\(\\frac { \u03c0 }{ 3 }\\) – \\(\\frac { 2\u03c0 }{ 3 }\\) = \\(\\frac { – \u03c0 }{ 3 }\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 Questions and Answers are prepared by our highly skilled subject experts. https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-2-ex-2-1\/ NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Exercise 2.1 Ex 2.1 Class 12 Question 1. sin-1 Solution: Question 2. cos-1 Solution: Question 3. cosec-1(2) Solution: …<\/p>\n

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[3],"tags":[],"yoast_head":"\nNCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-12-maths-chapter-2-ex-2-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 - 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