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(tan^(-1)2+tan^(-1)3)=?...

`(tan^(-1)2+tan^(-1)3)=?`

A

`-pi/4`

B

`pi/4`

C

`(3pi)/4`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C
`(x=2,y=3) rArr xy gt 1`.
`therefore tan^(-1)2+tan^(-1)3=pi+tan^(-1)(2+3)/(1-2 xx 3)=pi+tan^(-1)(-1)`
`=pi-tan(1)=(pi-pi/4)=(3pi)/4`.
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