Inverse Trigono...

The value of $${\sin ^{ - 1}}\left( {\cos \dfrac{{33\pi }}{5}} \right)$$ is 

If minimum value of $${\left( {{{\sin }^{ - 1}}x} \right)^2} + {\left( {{{\cos }^{ - 1}}x} \right)^2} = \frac{{{\pi ^2}}}{K}$$ then the value of $$K$$ is 

The value of $$\cos(\tan^{-1}(\tan2))$$

If $$\sin ^{ -1 }{ x } =\cot ^{ -1 }{ x } $$ then

$${\cos ^{ - 1}}\dfrac{3}{5} - {\sin ^{ - 1}}\dfrac{4}{5} = {\cos ^{ - 1}}x$$ then $$x$$ is equal to:

$$Sin^{-1}(2x(1-x^2)) = 2sin^{-1}x$$ is true if.

The principal value of $$tan^{-1}[cot\dfrac{3\pi}{4}]$$ is :

The greatest and least value of  $${\left( {{{\sin }^{ - 1}}x} \right)^2} + {\left( {{{\cos }^{ - 1}}x} \right)^2}$$ are respectively 

The number of elements in the range of
$$f(x)=\sin ^{ -1 }{ x } +\cos ^{ -1 }{ x } +\sec ^{ -1 }{ x } $$ is

The algebraic expression for $$\tan \left(\sin^{-1}\cos\ \tan^{-1}\dfrac {x}{2}\right)$$ is