Statement 1: The number of solutions of for is

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

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 and Statement 2 is false (d) Statement 1 is false and Statement 2 is true

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