Problem

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

Column I		Column II
A	The number of solutions of the equation $\tan 2x = \sin x, x \in [0, \pi]$	p	1
B	The value of $4 \tan \frac{\pi}{16} - 4 \tan^3 \frac{\pi}{16} + 6 \tan^2 \frac{\pi}{16} - \tan^4 \frac{\pi}{16} + 1$	q	4
C	If the equation $\tan(p \cot x) = \cot p(\tan x)$ has a solution in $(0, x) - \left\{ \frac{\pi}{2} \right\}$ , then $\frac{4}{\pi} P_{\max}$ is	r	3
D	The value of $\frac{2x}{\pi}$ in $[0, 2\pi]$ , if $5^{\cos^2 2x + 2 \sin^2 x} + 5^{2 \cos^2 x + \sin^2 2x} = 126$ has a solution	s	2