Statement-1: The number of solutions of for is

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Statement-1: The number of solutions of 2cos⁡x=∣sin⁡x∣2^{\cos x}=|\sin x| for x∈[0,2π]x\in[0,2\pi] is 66. Statement-2: f(x)=∣sin⁡x∣f(x)=|\sin x| is a periodic function with fundamental period π\pi. (a) Statement-1 is true, Statement-2 is true and Statement-2 is the correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true and Statement-2 is not the correct explanation for Statement-1. (c) Statement-1 is true, Statement-2 is false. (d) Statement-1 is false, Statement-2 is true.

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