Questions in trigonometry

Select	Question
	The general solution of the trigonometric equation $\tan \theta =\cot \alpha $ is
	The solution of the equation $\sec \theta -\text{cosec}\theta =\frac{4}{3}$ is
	If $\cos p\theta =\cos q\theta ,p\ne q$, then
	The solution of the equation $4{{\cos }^{2}}x+6$${{\sin }^{2}}x=5$
	If $\sin 3\alpha =4\sin \alpha \sin (x+\alpha )\sin (x-\alpha ),$then $x=$
	If $\sin \text{ }\left( \frac{\pi }{4}\cot \theta \right)=\cos \text{ }\left( \frac{\pi }{4}\tan \theta \right)\,\,,$ then $\theta =$
	The general value of $\theta $satisfying the equation $2{{\sin }^{2}}\theta -3\sin \theta -2=0$ is
	The general solution of the equation $(\sqrt{3}-1)\sin \theta +(\sqrt{3}+1)\cos \theta =2$ is
	The general solution of $\tan 3x=1$ is
	The general solution of ${{\sin }^{2}}\theta \sec \theta +\sqrt{3}\tan \theta =0$ is