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The principal value of sin^(-1)(sin((2pi...

The principal value of `sin^(-1)(sin((2pi)/3))` is (a)`-(2pi)/3` (b) `(2pi)/3` (c)`(pi)/3` (d) `(5pi)/3` (e) none of these

A

`- (2pi)/(3)`

B

`( 2pi)/(3)`

C

`(pi)/3`

D

`( 5pi)/(3)`

Text Solution

Verified by Experts

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