Questions in trigonometry

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$\sqrt{\frac{1-\sin A}{1+\sin A}}=$
$\frac{\sin 3\theta -\cos 3\theta }{\sin \theta +\cos \theta }+1=$
The value of $\tan 7\frac{1}{2}{}^\circ $ is equal to
If $\theta $is an acute angle and $\sin \frac{\theta }{2}=\sqrt{\frac{x-1}{2x}}$, then $\tan \theta $ is equal to
The value of $a\cos \theta +b\sin \theta $lies between
The maximum value of $3\cos \theta -4\sin \theta $ is
Minimum value of $5{{\sin }^{2}}\theta +4{{\cos }^{2}}\theta $is
The maximum value of ${{\cos }^{2}}\left( \frac{\pi }{3}-x \right)-{{\cos }^{2}}\left( \frac{\pi }{3}+x \right)$ is
${{\tan }^{2}}\theta +{{\cot }^{2}}\theta $is
The value of x for the maximum value of $\sqrt{3}\cos x+\sin x$is

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