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 tangents of two acute angles are $3$ and $2$ . The sine of twice their difference is	(p) $1$
(b) If $n=\frac{\pi}{4\alpha}$ , then $\tan\alpha\tan2\alpha\tan3\alpha\dots\tan(2n-1)\alpha$ is equal to	(q) $0$
(c) If $x=y\cos\frac{2\pi}{3}=z\cos\frac{4\pi}{3}$ , then $xy+yz+zx=$	(r) $\frac12$
(d) The ratio of the greatest value of $2-\cos x+\sin^2x$ to its least value is	(s) $\frac7{25}$
	(t) $\frac{13}{4}$