Questions in trigonometry

Select	Question
	$\frac{2\sin \theta \,\tan \theta (1-\tan \theta )+2\sin \theta {{\sec }^{2}}\theta }{{{(1+\tan \theta )}^{2}}}=$
	The value of the expression $1-\frac{{{\sin }^{2}}y}{1+\cos \,y}+\frac{1+\cos \,y}{\sin \,y}-\frac{\sin \,\,y}{1-\cos \,y}$ is equal to
	If $2y\,\cos \theta =x\sin \,\theta \text{ and }2x\sec \theta -y\,\text{cosec}\,\theta =3,$ then ${{x}^{2}}+4{{y}^{2}}=$
	If $\tan A+\cot A=4,$then ${{\tan }^{4}}A+{{\cot }^{4}}A$ is equal to
	If $x=\sec \,\varphi -\tan \varphi ,y=\text{cosec}\varphi +\cot \varphi ,$then
	If $\tan \theta =\frac{x\,\sin \,\varphi }{1-x\,\cos \,\varphi }$ and $\tan \,\varphi =\frac{y\sin \,\theta }{1-y\,\cos \,\theta }$, then $\frac{x}{y}=$
	If $p=\frac{2\sin \,\theta }{1+\cos \theta +\sin \theta }$, and $q=\frac{\cos \theta }{1+\sin \theta },$ then
	If $\tan \theta +\sin \theta =m$and $\tan \theta -\sin \theta =n,$then
	If $\tan \theta =\frac{a}{b},$then $\frac{\sin \theta }{{{\cos }^{8}}\theta }+\frac{\cos \theta }{{{\sin }^{8}}\theta }=$
	If $a\cos \theta +b\sin \theta =m$ and $a\sin \theta -b\cos \theta =n,$ then ${{a}^{2}}+{{b}^{2}}=$