Questions in trigonometry

Select	Question
	If $\cos 3\theta =\alpha \cos \theta +\beta {{\cos }^{3}}\theta ,$then $(\alpha ,\beta )=$
	${{(\cos \alpha +\cos \beta )}^{2}}+{{(\sin \alpha +\sin \beta )}^{2}}=$
	If $\tan x=\frac{b}{a},$then $\sqrt{\frac{a+b}{a-b}}+\sqrt{\frac{a-b}{a+b}}=$
	$1-2{{\sin }^{2}}\left( \frac{\pi }{4}+\theta \right)=$
	$\frac{\sin 3A-\cos \left( \frac{\pi }{2}-A \right)}{\cos A+\cos (\pi +3A)}=$
	If $\tan A=\frac{1}{2},$then $\tan 3A=$
	$\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}=$ (when $x$ lies in $2^{nd}$ quadrant)
	$(\sec 2A+1){{\sec }^{2}}A=$
	$2\sin A{{\cos }^{3}}A-2{{\sin }^{3}}A\cos A=$
	$\frac{\sin \theta +\sin 2\theta }{1+\cos \theta +\cos 2\theta }=$