Complex Numbers And Quadratic Equations question 219

Question: If $ \cos \alpha +\cos \beta +\cos \gamma =0= $ $ \sin \alpha +\sin \beta +\sin \gamma $ then $ \cos 2\alpha +\cos 2\beta +\cos 2\gamma $ equals [RPET 2000]

Options:

A) $ 2\cos (\alpha +\beta +\gamma ) $

B) $ \cos 2(\alpha +\beta +\gamma ) $

C) 0

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

See solution of above question.