Find the principal solutions of the following equations. 

$\sin x=\frac{\sqrt{3}}{2}$

Find the principal solutions of the following trigonometric equations :

$\tan x=-\frac{1}{\sqrt{3}}$

$\mathrm{cosec}x=2$

Find the general solution of the following trigonometric equations :

$\tan 5x=0$

Find the general solution of the following trigonometric equations :

$\sin 3x=0$

Find the general solution of the following trigonometric equations :

${\sin }^{2}2x=0$

Find the general solution of the following trigonometric equations :

$\cot 4x=0$

Find the general solution of the following trigonometric equations :

${\cos }^{3}4x=0$

Find the general solution of the following trigonometric equations :

${\cot }^{2}5\theta =0$