Find the integrals of the functions $\sin^{-1}(\cos x)$

Question

$\begin{array}{1 1}\frac{-\sin^{-1}(\cos x)}{2}+c \\\frac{-\cos^{-1}(\cos x)}{2}+c \\ \frac{-\sin^{-1}(\sin x)}{2}+c \\ -\sin^{-1}(\cos x)+c\end{array}$