In a right angled triangle, one of the angles measure $x^{\circ}$ If $\sin x^{\circ}=\large\frac{\sqrt 3}{2}$ . What is $\cos(90-x)$ ?

Question

$\begin{array}{1 1} (a)\;\large\frac{1}{2} \\ (b)\;\large\frac{\sqrt 3}{2} \\ (c)\;2 \\(d)\;\large\frac{2}{\sqrt 3} \end{array}$