The number of solutions of in is equal to

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

Problem

The number of solutions of esin⁡∣x∣=e∣cos⁡x∣e^{\sin|x|}=e^{|\cos x|} in [−π,π][-\pi,\pi] is equal to (1) 2 (2) 4 (3) 6 (4) 8

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