$\tan \,{20^o}\cot \,{10^o}\cot \,{50^o}$ is equal to
$\frac{1}{{\sqrt 3 }}$
$\sqrt 3 $
$\frac{{\sqrt 3 }}{4}$
$4\sqrt 3 $
Common roots of the equations $2{\sin ^2}x + {\sin ^2}2x = 2$ and $\sin 2x + \cos 2x = \tan x,$ are
Number of solutions to the system of equations $sin \frac{x+y}{2}=0$ and $|x| + |y| = 1$
The general solution of $\sin x - \cos x = \sqrt 2 $, for any integer $n$ is
The number of values of $\theta $ in $[0, 2\pi]$ satisfying the equation $2{\sin ^2}\theta = 4 + 3$$\cos \theta $ are
The solution of the equation ${\cos ^2}x - 2\cos x = $ $4\sin x - \sin 2x,$ $\,(0 \le x \le \pi )$ is