sin [π/3-sin (-1)⁡ (-1/2) ] is equal to :

(a) 1/2  (b) 1/3

(c) −1  (d) 1

 

This question is inspired from Ex 2.2, 20 (MCQ) - Chapter 2 Class 12 - Inverse Trigonometric Functions

Ques 1 (MCQ) - sin [π/3−sin^(−1)⁡(−1/2) ] is equal to - SQP Teachoo - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - Question 1 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 1 sin [𝜋/3−sin^(−1)⁡(−1/2) ] is equal to : (a) 1/2 (b) 1/3 (c) −1 (d) 1 sin⁡[𝜋/3− 〖𝐬𝐢𝐧〗^(−𝟏)⁡(−𝟏/𝟐) ] = sin⁡[𝜋/3−(− 〖𝒔𝒊𝒏〗^(−𝟏)⁡(𝟏/𝟐) )] = sin⁡[𝜋/3+〖𝒔𝒊𝒏〗^(−𝟏)⁡(𝟏/𝟐) ] = sin⁡[𝜋/3+𝜋/𝟔] = sin⁡〖𝜋/2〗 = 1 So, the correct answer is (d)

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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