Questions in trigonometry

Select	Question
	If $\sec \theta =1\frac{1}{4}$, then $\tan \frac{\theta }{2}=$
	If $\tan \frac{A}{2}=\frac{3}{2},$then $\frac{1+\cos A}{1-\cos A}=$
	If $\cos A=\frac{\sqrt{3}}{2},$then $\tan 3A=$
	$\sin 4\theta $can be written as
	If $\cos 2B=\frac{\cos (A+C)}{\cos (A-C)}$, then $\tan A,\ \tan B,\ \tan C$ are in
	If $a\tan \theta =b$, then $a\cos 2\theta +b\sin 2\theta =$
	$\frac{\sin 2A}{1+\cos 2A}.\frac{\cos A}{1+\cos A}=$
	$\frac{1}{\tan 3A-\tan A}-\frac{1}{\cot 3A-\cot A}=$
	$\text{cosec }A-2\cot 2A\cos A=$
	$\sqrt{2+\sqrt{2+2\cos 4\theta }}=$