Mathematics

Mathematics

Problem

Which of the following gives the general solution of the equation sin⁡θ=sin⁡α\sin\theta = \sin\alpha? a) θ=2nπ±α,  n∈Z\theta = 2n\pi \pm \alpha,\; n\in\mathbb{Z} b) θ=nπ+(−1)nα,  n∈Z\theta = n\pi + (-1)^n\alpha,\; n\in\mathbb{Z} c) θ=nπ+α,  n∈Z\theta = n\pi + \alpha,\; n\in\mathbb{Z} d) θ=nπ±α,  n∈Z\theta = n\pi \pm \alpha,\; n\in\mathbb{Z}

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