Trigonometric Equations Question 375

Question: If $ \cos p\theta =\cos q\theta ,p\ne q $ , then

[MP PET 1995]

Options:

A) $ \theta =2n\pi $

B) $ \theta =\frac{2n\pi }{p\pm q} $

C) $ \theta =\frac{n\pi }{p+q} $

D) None of these

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Answer:

Correct Answer: B

Solution:

  • $ \cos p\theta =\cos q\theta \Rightarrow p\theta =2n\pi \pm q\theta \Rightarrow \theta =\frac{2n\pi }{p\pm q} $ .