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The value of cos 480^(@) sin 150^(@) + ...

The value of ` cos 480^(@) sin 150^(@) + sin 600^(@) cos 390^(@)` is

A

0

B

1

C

`1/2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
`cos 480^(@) sin 150^(@) + sin 600^(@) cos 390^(@)`
` = [ cos (540^(@) -60^(@)) sin ( 180^(@) -30^(@)) + sin(540^(@) + 60^(@)) cos (360^(@) + 30^(@))]`
`= -cos 60^(@) sin 30^(@) (-sin 60^(@)) cos 30^(@)`
` =- 1/2 .1/2 + (-sqrt3/2) (sqrt3/2) = -1/4 -3/4 =-1`
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