Mathematics

Mathematics

Problem

Which of the following gives the complete general solution of sin⁡x cos⁡x cos⁡2x=0\sin x\,\cos x\,\cos 2x = 0? a) x=nπ or x=π2+nπ,  n∈Zx = n\pi \text{ or } x = \dfrac{\pi}{2}+n\pi,\; n\in\mathbb Z b) x=nπ,  x=π2+nπ,  x=π4+nπ2,  n∈Zx = n\pi,\; x = \dfrac{\pi}{2} + n\pi,\; x = \dfrac{\pi}{4} + \dfrac{n\pi}{2},\; n\in\mathbb Z c) x=nπ2 or x=π4+nπ2,  n∈Zx = \dfrac{n\pi}{2} \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z d) x=nπ or x=π4+nπ2,  n∈Zx = n\pi \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z

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