Find the general solution of the equation

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

Problem

Find the general solution of the equation cos⁡x=cos⁡α\cos x = \cos \alpha, where α\alpha is a fixed real constant. (a) x=nπ±α,  n∈Zx = n\pi \pm \alpha,\; n\in\mathbb Z (b) x=2nπ±α,  n∈Zx = 2n\pi \pm \alpha,\; n\in\mathbb Z (c) x=nπ+(−1)nα,  n∈Zx = n\pi + (-1)^n\alpha,\; n\in\mathbb Z (d) x=2nπ+α,  n∈Zx = 2n\pi + \alpha,\; n\in\mathbb Z

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