The number of solutions of in is

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

Problem

The number of solutions of ∣sin⁡5x+cos⁡5x∣=∣sin⁡x+cos⁡x∣\left|\sin^5x+\cos^5x\right|=\left|\sin x+\cos x\right| in [0,2π][0,2\pi] is (1) 6 (2) 7 (3) 8 (4) 9

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