If , then it is, where denotes the greatest integer…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

If f(x)=2x(sin⁡x+tan⁡x)2[x+2ππ]−3f(x)=\frac{2x(\sin x+\tan x)}{2\left[\frac{x+2\pi}{\pi}\right]-3}, then it is, where [⋅][\cdot] denotes the greatest integer function, (a) odd (b) even (c) many-one (d) one-one

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