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

Question

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

$\left( { - \cos \alpha ,\sin \alpha } \right)$

$\left( { \cos \alpha ,\sin \alpha } \right)$

$\left( { - \sin \alpha ,\cos \alpha } \right)$

$\left( { \sin \alpha ,\cos \alpha } \right)$

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