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The principle value of sin ^(-1)(sin ""(...

The principle value of `sin ^(-1)(sin ""(2pi)/(3))` is

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(pi)/(3)`

D

`(2pi)/(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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