Which of the following is the principal value branch of $\cos^{-1}x$?

Question

$\begin{array}{1 1}(A)\quad\begin{bmatrix}\frac{-\pi}{2},\frac{\pi}{2}\end{bmatrix} & (B)\quad(0,\pi)\\(C)\quad[0,\pi] & (D)\quad(0,\pi)-\left \{\frac{\pi}{2}\right \}\end{array}$