question_answer

The most general value of \[\theta \]satisfying the equations \[\sin \theta =\sin \alpha \]and \[\cos \theta =\cos \alpha \]is [IIT 1971; Karnataka CET 1993; DCE 1999]

A) \[2n\pi +\alpha \]

B) \[2n\pi -\alpha \]

C) \[n\pi +\alpha \]

D) \[n\pi -\alpha \]