Questions in trigonometry

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If $\tan \beta =\cos \theta \tan \alpha ,$then ${{\tan }^{2}}\frac{\theta }{2}=$
If $\cos A=\frac{3}{4}$, then $32\sin \frac{A}{2}\cos \frac{5}{2}A=$
If $\theta $and $\varphi $are angles in the 1st quadrant such that $\tan \theta =1/7$and $\sin \varphi =1/\sqrt{10}$.Then
$\frac{\cos A}{1-\sin A}=$
$\tan \frac{A}{2}$is equal to
If $\sin \alpha =\frac{-3}{5},$where $\pi <\alpha <\frac{3\pi }{2},$then $\cos \frac{1}{2}\alpha =$
Let$0
If $\sin \theta +\cos \theta =x,$ then ${{\sin }^{6}}\theta +{{\cos }^{6}}\theta =\frac{1}{4}[4-3{{({{x}^{2}}-1)}^{2}}]$ for
If $\tan \theta =t,$then $\tan 2\theta +\sec 2\theta =$
$\frac{\sqrt{2}-\sin \alpha -\cos \alpha }{\sin \alpha -\cos \alpha }=$

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