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Find the value of sin 480°-sin 60°+ sin 780°+cos 120°.
Question

Find the value of sin 480°-sin 60°+ sin 780°+cos 120°.

A.

1

B.

(√3-1)/2

C.

0

D.

(√3+1)/2

Correct option is B

sin 480° - sin 60° + sin 780° + cos 120°
=>sin (360° + 120°) - sin 60° + sin (360° x 2 + 60°) + cos (90° + 30°)
=>sin 120° - sin 60° + sin 60° - sin 30°
=>sin (90° + 30°) - sin 30°
cos 30° - sin 30°
=>√3/2-1/2
=>(√3-1)/2

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