If $\sin x=\cos\bigg(\large\frac{13 \pi}{6}\bigg)$ find the value of x

Question

$\begin{array}{1 1} (a)\;\large\frac{\pi}{6} \\ (b)\;\large\frac{-\pi}{6} \\ (c)\;\large\frac{\pi}{3} \\ (d)\;\large\frac{-\pi}{3}\end{array}$