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The value of sin 10^(@) sin 30^(@) sin ...

The value of `sin 10^(@) sin 30^(@) sin 50^(@) sin 70^(@)` is equal to .

A

`1/8`

B

`1/32`

C

`1/16`

D

`1/12`

Text Solution

Verified by Experts

The correct Answer is:
C
`sin 10^(@)sin 30^(@)sin50^(@) sin 70^(@)`
`=sin 10^(@)sin(60^(@)-10^(@))sin(60^(@)+10^(@))sin30^(@)`
`=(1)/(4)sin(3xx10^(@))sin30^(@)=(1)/(4)sin^(2)30^(@)=(1)/(16)`
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