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Simplify: cos 5° + cos 24° + cos 175° + cos 204° + cos 300°
Question

Simplify:
cos 5° + cos 24° + cos 175° + cos 204° + cos 300°

A.

—1/2

B.

0

C.

1

D.

1/2

Correct option is D


cos 5° + cos 24° + cos 175° + cos 204° + cos 300°
cos 5° + cos 24° + cos (180 – 5) ° + cos (180 + 24 )° + cos (360 – 60 )°
cos 5° + cos 24° - cos 5° - cos 24° + cos 60°
cos 60° = ½

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