Find the general solution of the equation .

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

Problem

Find the general solution of the equation sin⁡x cos⁡2x=0\sin x\,\cos 2x = 0. (a) x=nπ or x=π4+nπ2,  n∈Zx = n\pi \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z (b) x=nπ,  n∈Zx = n\pi,\; n\in\mathbb Z (c) x=π4+nπ,  n∈Zx = \dfrac{\pi}{4}+ n\pi,\; n\in\mathbb Z (d) x=nπ2,  n∈Zx = \dfrac{n\pi}{2},\; n\in\mathbb Z

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