The number of solutions of the equation $\sin x=$ $\cos ^{2} x$ in the interval $(0,10)$ is
$2$
$4$
$6$
$8$
If $\sin 2x + \sin 4x = 2\sin 3x,$ then $x =$
Number of solutions of $8cosx$ = $x$ will be
If $|cos\ x + sin\ x| + |cos\ x\ -\ sin\ x| = 2\ sin\ x$ ; $x \in [0,2 \pi ]$ , then maximum integral value of $x$ is
$\sin 6\theta + \sin 4\theta + \sin 2\theta = 0,$ then $\theta = $
The solution of the equation $\sec \theta - {\rm{cosec}}\theta = \frac{4}{3}$ is