Match the statements in Column I with the values in Column II

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Match the statements in Column I with the values in Column II.

Column I	Column II
(a) The number of real roots of the equation $\cos^7 x + \sin^4 x = 1$ in $(-\pi, \pi)$ is	(p) $1$
(b) The value of $\sqrt{3}\csc 20^\circ - \sec 20^\circ$ is	(q) $4$
(c) $4\cos 36^\circ - 4\cos 72^\circ + 4\sin 18^\circ\cos 36^\circ$ equals	(r) $3$
(d) The number of values of $x\in[-2\pi,2\pi]$ which satisfy $\csc x = 1 + \cot x$ is	(s) $2$