Domain and Range of Inverse Trigonometric Function

If ${\cos }^{-1}x>{\sin }^{-1}x$, then the set of all values of $x$ is

The set of values of $k$ for which $x^2-kx+{\sin }^{-1}\left(\sin 4\right)>0$ for all real $x$ is

If $k\le {\sin }^{-1}x+{\cos }^{-1}x+{\tan }^{-1}x\le K$, then

The solution of the inequality ${\log }_{\frac{1}{2}}{\sin }^{-1}x>{\log }_{\frac{1}{2}}{\cos }^{-1}x$ is