Questions in trigonometry

Select	Question
	If $\tan 2\theta \tan \theta =1$, then the general value of$\theta $is
	If $1+\cot \theta =\text{cosec}\theta $, then the general value of $\theta $ is
	If $\frac{1-\cos 2\theta }{1+\cos 2\theta }=3$, then the general value of$\theta $ is
	If $3({{\sec }^{2}}\theta +{{\tan }^{2}}\theta )=5$, then the general value of $\theta $ is
	If $\cos 7\theta =\cos \theta -\sin 4\theta $, then the general value of $\theta $is
	If $\frac{1-{{\tan }^{2}}\theta }{{{\sec }^{2}}\theta }=\frac{1}{2}$, then the general value of $\theta $is
	If $\cos \theta +\sec \theta =\frac{5}{2}$, then the general value of $\theta $is
	If $\cot \theta +\tan \theta =2\text{cosec}\theta $, the general value of $\theta $ is
	If ${{\tan }^{2}}\theta -(1+\sqrt{3})\tan \theta +\sqrt{3}=0$, then the general value of $\theta $ is
	The most general value of $\theta $satisfying the equations $\sin \theta =\sin \alpha $and $\cos \theta =\cos \alpha $is