Evaluate cot(tan^(-1)a+cot^(-1)a)...

Evaluate `cot(tan^(-1)a+cot^(-1)a)`

A

1

B

`(1)/(sqrt(3))`

C

`sqrt(3)`

D

0

Verified by Experts

The correct Answer is:

D

`cot(tan^(-1)a+cot^(-1)a)`
`=cot((pi)/(2))=0 " "[becausetan^(-1)x+cot^(-1)x=(pi)/(2)]`

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