Match the statements of Column I with values of Column II

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Match the statements of Column I with values of Column II.
Column IColumn II
(A) sin⁡(cos⁡x)\sqrt{\sin(\cos x)} has domain(p) x∈Rx \in R
(B) (cos⁡(sin⁡x))−1(\sqrt{\cos(\sin x)})^{-1} has domain(q) R−{nπ±π6}R - \left\{n\pi \pm \frac{\pi}{6}\right\}
(C) tan⁡(πsin⁡x)\tan(\pi \sin x) has domain(r) x∈(nπ,nπ+π2)x \in \left(n\pi, n\pi + \frac{\pi}{2}\right)
(D) ln⁡(tan⁡x)\ln(\tan x) has domain(s) x∈[2nπ−π2,2nπ+π2]x \in \left[2n\pi - \frac{\pi}{2}, 2n\pi + \frac{\pi}{2}\right]

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