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Find the principal value of the followin...

Find the principal value of the following:
(i) `cosec^(-1)(2)` (ii) `tan^(-1) (-sqrt3)` (iii) `cos^(-1) (-(1)/(sqrt2))`

A

`pi/3`

B

`pi/6`

C

`(2pi)/3`

D

`(5pi)/6`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `"cosec"^(-1)(2)=x`, where `x in [-pi/2,pi/2]-{0}`
Then, `"cosecx"=2"cosec"pi/6 rArr x =pi/6`
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