Which one of the following correctly describes the domain of the function ?

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

Problem

Which one of the following correctly describes the domain of the function y=tan⁡xy=\tan x? (a) x≠nπ,  n∈Zx\neq n\pi,\;n\in\mathbb{Z} (b) x≠nπ2,  n∈Zx\neq n\dfrac{\pi}{2},\;n\in\mathbb{Z} (c) x≠(2n+1)π2,  n∈Zx\neq(2n+1)\dfrac{\pi}{2},\;n\in\mathbb{Z} (d) x≠2nπ,  n∈Zx\neq2n\pi,\;n\in\mathbb{Z}

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