If $\cos x=-\large\frac{\sqrt{15}}{4}$ and $\large\frac{\pi}{2}$$\lt x$$\lt \pi$ ,find the value of $\sin x$

Question

$\begin{array}{1 1}(A)\;\large\frac{1}{2}&(B)\;\large\frac{1}{4}\\(C)\;\large\frac{1}{3}&(D)\;\large\frac{1}{5}\end{array}$