Questions in trigonometry

Select	Question
	The equation $\sin x+\sin y+\sin z=-3$ for $0\le x\le 2\pi ,$ $0\le y\le 2\pi ,$ $0\le z\le 2\pi $, has
	If $\sin 2\theta =\cos \theta ,\,\,0<\theta <\pi $, then the possible values of $\theta $ are
	If $2{{\sin }^{2}}\theta =3\cos \theta ,$where $0\le \theta \le 2\pi $, then $\theta =$
	If$\cos 6\theta +\cos 4\theta +\cos 2\theta +1=0$, where $0<\theta <{{180}^{o}}$, then $\theta $ =
	Values of $\theta (0<\theta <{{360}^{o}})$ satisfying $\text{cosec}\theta +2=0$ are
	$2{{\sin }^{2}}x+{{\sin }^{2}}2x=2,\,-\pi
	The values of $\theta $ satisfying $\sin 7\theta =\sin 4\theta -\sin \theta $ and $0 < \theta < \frac{\pi }{2}$ are
	The expression $(1+\tan x+{{\tan }^{2}}x)$ $(1-\cot x+{{\cot }^{2}}x)$ has the positive values for x, given by
	If $5\cos 2\theta +2{{\cos }^{2}}\frac{\theta }{2}+1=0,-\pi <\theta <\pi $, then $\theta =$
	If $\cos \theta =\frac{-1}{2}$and ${{0}^{o}}<\theta <{{360}^{o}}$, then the values of $\theta $are