The domain of the function is

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The domain of the function f(x)=log⁡(1∣sin⁡x∣)f(x)=\sqrt{\log\left(\dfrac1{|\sin x|}\right)} is (a) R∖{2nπ:n∈Z}\mathbb{R}\setminus\{2n\pi:n\in\mathbb{Z}\} (b) R∖{nπ:n∈Z}\mathbb{R}\setminus\{n\pi:n\in\mathbb{Z}\} (c) R∖{−π,π}\mathbb{R}\setminus\{-\pi,\pi\} (d) (−∞,∞)(-\infty,\infty)

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