The value of $\cos ^{\circ} \cos 2^{\circ} \cos 3^{\circ}...... \cos 179^{\circ} \cos 180^{\circ}$

Question

$\begin{array}{1 1}(A) \;1 \\(B)\;-1 \\(C)\;0 \\(D)\;\infty \end{array}$