Question

Cos 0° + cos 1° + cos2° +cos3° +...+cos 179° + cos 180°.

Answer 1

0

Explanation:

identity:

cos(180-x) = -cos(x)

cos(0)= -cos(180)

cos(0) + cos(180) = 0

cos(1)= -cos(179)

cos(1)+cos(179) = 0

...

all sum to zero