Questions in trigonometry

Select	Question
	If $\sin {{\theta }_{1}}+\sin {{\theta }_{2}}+\sin {{\theta }_{3}}=3,$then $\cos {{\theta }_{1}}+\cos {{\theta }_{2}}+\cos {{\theta }_{3}}=$
	If ${{\sin }^{2}}\theta =\frac{{{x}^{2}}+{{y}^{2}}+1}{2x}$, then x must be
	If $\tan \theta -\cot \theta =a$ and $\sin \theta +\cos \theta =b,$ then ${{({{b}^{2}}-1)}^{2}}({{a}^{2}}+4)$ is equal to
	If ${{\tan }^{2}}\alpha {{\tan }^{2}}\beta +{{\tan }^{2}}\beta {{\tan }^{2}}\gamma +{{\tan }^{2}}\gamma {{\tan }^{2}}\alpha +2{{\tan }^{2}}\alpha {{\tan }^{2}}\beta {{\tan }^{2}}\gamma =1,$then the value of ${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma $is
	$\cos 1{}^\circ .\cos 2{}^\circ .\cos 3{}^\circ .........\cos 179{}^\circ =$
	The value of $\frac{\cot 54{}^\circ }{\tan 36{}^\circ }+\frac{\tan 20{}^\circ }{\cot 70{}^\circ }$ is
	The value of $\sin 10{}^\circ +\sin 20{}^\circ +\sin 30{}^\circ +...+$ $\sin 360{}^\circ $ is
	$\cos 1{}^\circ +\cos 2{}^\circ +\cos 3{}^\circ +.....+\cos 180{}^\circ =$
	If $\alpha =22{}^\circ 30',$then $(1+\cos \alpha )(1+\cos 3\alpha )$ $(1+\cos 5\alpha )(1+\cos 7\alpha )$ equals
	The value of $6({{\sin }^{6}}\theta +{{\cos }^{6}}\theta )-9({{\sin }^{4}}\theta +{{\cos }^{4}}\theta )+4$ is