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If y=5 (sin 100^(@)cos 27^(@) +cos 100^(...

If `y=5 (sin 100^(@)cos 27^(@) +cos 100^(@)sin 27^(@))` the value of y is :-

A

5

B

10

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`y=5 (sin 100^(@) cos 27^(@)+cos 100^(@)sin 27^(@))`
`=5 sin (100^(@)+27^(@))=5 sin 127^(@)`
`=5 sin (90+37^(@))=5 cos 37^(@) =4`
as `sin (A+B) =sin A cos B + cos A sin B`
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