Integrate the function $\begin{align*}\int\frac{\cos x}{\sqrt{4-\sin^2x}} \end{align*}$

Question

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