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Simplify: cos 18° + cos 162° + sin 126° + sin 234°
Question

Simplify: cos 18° + cos 162° + sin 126° + sin 234°

A.

1

B.

–2

C.

2

D.

0

Correct option is D


Given:
cos 18° + cos 162° + sin 126° + sin 234°
Formula Used:
cos (180° – 𝛳°) = - cos 𝛳°
sin (360- 𝛳°) = - sin 𝛳°
Solution:
cos 18° + cos 162° + sin 126° + sin 234°
= cos 18° + cos (180° – 18°) + sin 126° + sin (360° – 126°)
= cos 18° – cos 18° + sin 126° – sin 126°
= 0

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