Question 15 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Sept. 26, 2024 by Teachoo

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Question 15 The graph drawn below depicts (A) 𝑦=〖𝑠𝑖𝑛〗^(−1) 𝑥 (B) 𝑦=〖𝑐𝑜𝑠〗^(−1) 𝑥 (C) 𝑦=〖𝑐𝑜𝑠𝑒𝑐〗^(−1) 𝑥 (D) 𝑦=〖𝑐𝑜𝑡〗^(−1) 𝑥 We can solve this using options From graph For x = −1, y = 𝜋 For x = 0, y = 𝜋/2 For x = 1, y = 0 Checking all options for x = −1, 0, 1 For x = −1 Option (A) - y So, the correct answer is (B) Question 15 The graph drawn below depicts (A) y=sin^(−1) x (B) 𝑦=〖𝑐𝑜𝑠〗^(−1) 𝑥 (C) 𝑦=〖𝑐𝑜𝑠𝑒𝑐〗^(−1) 𝑥 (D) 𝑦=〖𝑐𝑜𝑡〗^(−1) 𝑥 We can solve this using options From graph For x = −1, y = 𝜋 For x = 0, y = 𝜋/2 For x = 1, y = 0 If we do normal trigonometry, then this basically means, For θ = 𝜋, then __ θ = −1 For θ = 𝜋/2, then __ θ = 0 For θ = 0, then __ θ = 1 Since cos 0 = 1 And, cos 𝜋/2 = 0 ∴ This is graph of 𝒚=〖𝒄𝒐𝒔〗^(−𝟏) 𝒙 So, the correct answer is (B)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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