Solve for and choose the correct set of solutions.

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

Problem

Solve sin⁡x+sin⁡3x=0\sin x + \sin 3x = 0 for x∈(0,2π)x \in (0,2\pi) and choose the correct set of solutions. (a) {π2, π}\left\{\dfrac{\pi}{2},\,\pi\right\} (b) {π2, 3π2}\left\{\dfrac{\pi}{2},\,\dfrac{3\pi}{2}\right\} (c) {π2, π, 3π2}\left\{\dfrac{\pi}{2},\,\pi,\,\dfrac{3\pi}{2}\right\} (d) {π, 3π2}\left\{\pi,\,\dfrac{3\pi}{2}\right\}

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