Trigonometric-Identities Question 390

Question: The expression $ \frac{\cos 6x+6\cos 4x+15\cos 2x+10}{\cos 5x+5\cos 3x+10\cos x} $ is equal to

Options:

A) $ \cos 2x $

B) $ 2\cos x $

C) $ {{\cos }^{2}}x $

D) $ 1+\cos x $

Show Answer

Answer:

Correct Answer: B

Solution:

The given expression can be written as $ \frac{(\cos ,6x+\cos ,4x)+5,(\cos ,4x+\cos ,2x)+10,(\cos ,2x+1)}{\cos ,5x+5,\cos ,3x+10,\cos x} $ After solving, we get the required result i.e. $ 2,\cos x $ .