The values of $x$ satisfying the equation $3 \operatorname{cosec} x = 4 \sin x$ are

The general solution of $\sin x + \sin 5x = \sin 2x + \sin 4x$ is:

If the sum of all the solutions of the equation $8 \cos x \cdot \left( \cos \left( \frac{\pi}{6} + x \right) \cdot \cos \left( \frac{\pi}{6} - x \right) - \frac{1}{2} \right) = 1$ in the interval $[0, \pi]$ is $k\pi$,then $k$ is equal to:

The set of solutions of the equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is

The solution set of the equation $\tan x + \sec x = 2 \cos x$ in the interval $[0, 2 \pi]$ is

If $\sin 5x + \sin 3x + \sin x = 0$,then the value of $x$ other than $0$ lying between $0 \le x \le \frac{\pi}{2}$ is