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Find the principal value of tan^(-1)sqrt...

Find the principal value of `tan^(-1)sqrt(3)-sec^(-1)(-2)`

A

`pi/3`

B

`-pi/3`

C

`(5pi)/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`tan^(-1)sqrt(3)-sec^(-1)(-2)=tan^(-1)sqrt(3)-(pi-sec^(-1)2)`.
`=pi/3-pi+pi/3=-pi/3`.
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