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The value of tan^(-1)(1/2tan2A) +tan^(-1...

The value of `tan^(-1)(1/2tan2A) +tan^(-1)(cotA)+tan^(-1)(cot^3A),` for `0 lt A lt pi//4` is a)`tan^(-1)2` b)`tan^(-1)(cotA)` c)`4 tan^(-1)(1)` d)`2 tan^(-1)(2)`

A

`tan^(-1)2`

B

`tan^(-1)(cotA)`

C

`4 tan^(-1)(1)`

D

`2 tan^(-1)(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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