Questions in inv-trig

Select	Question
	$\tan \left[ \frac{1}{2}{{\cos }^{-1}}\left( \frac{\sqrt{5}}{3} \right) \right]=$
	$\frac{1}{2}{{\cos }^{-1}}\left( \frac{1-x}{1+x} \right)=$
	$\sin \left( 4{{\tan }^{-1}}\frac{1}{3} \right)=$
	$3{{\tan }^{-1}}a$is equal to
	$4{{\tan }^{-1}}\frac{1}{5}-{{\tan }^{-1}}\frac{1}{239}$is equal to
	If $3{{\sin }^{-1}}\frac{2x}{1-{{x}^{2}}}-4{{\cos }^{-1}}\frac{1-{{x}^{2}}}{1+{{x}^{2}}}+2{{\tan }^{-1}}\frac{2x}{1-{{x}^{2}}}=\frac{\pi }{3}$ then $x$ =
	The value of $\sin \left( 2{{\tan }^{-1}}\left( \frac{1}{3} \right) \right)+\cos ({{\tan }^{-1}}2\sqrt{2})=$
	$\sin \left( \frac{1}{2}{{\cos }^{-1}}\frac{4}{5} \right)=$
	The value of ${{\cos }^{-1}}(\cos 12)-{{\sin }^{-1}}(\sin 14)$ is
	${{\cos }^{-1}}\left( \frac{3+5\cos x}{5+3\cos x} \right)$ is equal to