Inverse Trigono...

If $$|x| \le 1$$, then $$2 \tan ^{-1}x +\sin ^{-1} \left(\dfrac{2x}{1+x^2} \right)$$ is equal to 

The value of the expression $$2 \sec ^{-1}2+ \sin^{-1}\left(\dfrac{1}{2}\right)$$ is

The value of $$\cot  (\sin^{-1}x)$$ is 

The value of $$ \sin^{-1}\left\{\cos \left( \dfrac{43\pi}{5}\right)\right\}$$ is 

The domain of the function defined by $$f(x)=\sin^{-1}x+\cos x$$ is 

If $$\sin^{-1}x+\sin^{-1}y=\dfrac{\pi}{2}$$, then the value of $$\cos^{-1}x+\cos^{-1}y$$ is 

If $$\tan^{-1}x=\dfrac{\pi}{10}$$ for some $$x\in R$$, then the value of $$\cot^{-1}x$$ is 

The value of the expression $$\sin [ \cot^{-1}\{ \cos (\tan^{-1}1)\}]$$ is 

If $$\alpha \le 2\sin^{-1}x+\cos^{-1}x \le \beta$$, then 

The domain of $$y=\cos^{-1}(x^2-4)$$ is