If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} \cot 60^{\circ}$, then $x$ =_______

Question

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