Trigonometric Identities Question 279

Question: $ \cos 1{}^\circ +\cos 2{}^\circ +\cos 3{}^\circ +…..+\cos 180{}^\circ = $

[Karnataka CET 2003]

Options:

A) 0

B) 1

C) -1

D) 2

Show Answer

Answer:

Correct Answer: C

Solution:

$ (\cos 1{}^\circ +\cos 179{}^\circ )+(\cos 2{}^\circ +\cos 178{}^\circ )+…. $ $ +(\cos 89{}^\circ +\cos 91{}^\circ )+\cos 90{}^\circ +\cos 180{}^\circ =-1 $ .