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Find the value of : cot^(-1), (5pi/4)...

Find the value of : `cot^(-1), (5pi/4)`

A

`pi/4`

B

`-pi/4`

C

`(3pi)/4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Let `cot^(-1)(cot (5pi)/4)=x`, where `x in [0,pi]`.
Then, `cot x=cot(5pi)/4 = cot(pi+pi/4)=cot(pi/4) rArr x=pi/4`.
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