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Find the value of sin\ 15^circ....

Find the value of `sin\ 15^circ`.

A

`(sqrt3-1)/(2sqrt2)`

B

`(sqrt3+1)/(2sqrt2)`

C

`(1-sqrt3)/(2sqrt2)`

D

`-(sqrt3+1)/(2sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin 15^circ = sin (45^circ - 30^circ)`
`= sin 45^circ cos 30^circ - cos 45^circ sin 30^circ`
`=1/sqrt(2) xx sqrt(3)/2 - 1/sqrt(2) xx 1/2`
`=(sqrt(3)-1)/(2 sqrt(2))`
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