The number of solutions of the equation $\sin 2x - 2 \cos x + 4 \sin x = 4$ in the interval $[0, 5\pi]$ is

The number of solutions of the equation $(4-\sqrt{3}) \sin x - 2 \sqrt{3} \cos^2 x = -\frac{4}{1+\sqrt{3}}$ for $x \in [-2\pi, \frac{5\pi}{2}]$ 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:

If $\sin x \cos x = \frac{1}{4}$, then the general solution is:

Let $X = \{x \in \mathbb{R} : \cos(\sin x) = \sin(\cos x)\}$. The number of elements in $X$ is

The solution of $3 \tan (A - 15^{\circ}) = \tan (A + 15^{\circ})$ is