Trigonometric Equations Question 357

Question: 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]

Options:

A) $ 2n\pi +\alpha $

B) $ 2n\pi -\alpha $

C) $ n\pi +\alpha $

D) $ n\pi -\alpha $

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Answer:

Correct Answer: A

Solution:

  • It is obvious.