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sin(pi/3-sin^(-1)(-1/2))is equal to...

`sin(pi/3-sin^(-1)(-1/2))`is equal to

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
`sin[(pi)/(3)-sin^(-1)""(-(1)/(2))]`
`=sin[(pi)/(3)+sin^(-1)""(1)/(2)]`
`=sin[(pi)/(3)+sin^(-1)""(sin""(pi)/(6))]`
`=sin[(pi)/(3)+ (pi)/(6)]=sin""(pi)/(2)=1`
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