If $\begin{align*} \int \frac{\sin x}{\sin(x-\alpha)} dx = Ax + B \log \sin (x-\alpha) + C \end{align*}$, then value of $(A, B)$ is

Question

( A ) $(\cos \alpha, \sin \alpha)$
( B ) (\sin \alpha, \cos \alpha)$
( C ) $(-\cos \alpha, \sin \alpha)$
( D ) $(-\sin \alpha, \cos\alpha)$