Evaluate the following $\displaystyle\int\frac{\cos x-\cos 2x}{1-\cos x}dx$

Question

$\begin{array}{1 1} (A)\;x-2 \sin x +c \\(B)\;-x+2 \sin x +c \\(C)\;x+2 \sin x +c \\ (D)\;-x-2 \sin x +c \end{array} $