Match the statement of Column I with values of Column II

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

Problem

Match the statement of Column I with values of Column II.

Column I	Column II
(A) If $\theta + \phi = \frac{\pi}{2}$ , where $\theta$ and $\phi$ are positive, then $(\sin \theta + \sin \phi) \sin \left(\frac{\pi}{4}\right)$ is always less than	(p) 1
(B) If $\sin \theta - \sin \phi = a$ and $\cos \theta + \cos \phi = b$ , then $a^2 + b^2$ cannot exceed	(q) 2
(C) If $3 \sin \theta + 5 \cos \theta = 5$ , ( $\theta \neq 0$ ) then the value of $5 \sin \theta - 3 \cos \theta$ is	(r) 3
	(s) 4
	(t) 5