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

A

$$(\sin\alpha, \cos\alpha)$$

B

$$(\cos\alpha, \sin\alpha)$$

C

$$(-\sin\alpha, \cos\alpha)$$

D

$$(-\cos\alpha, \sin\alpha)$$