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

Q1

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

a

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

b

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

c

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

d

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

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