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tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) ...

`tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y))` is

A

`(pi)/2`

B

`(pi)/3`

C

`(pi)/4`

D

`(3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)((y z)/(x r))+tan ^(-1)((z x)/(y r))+tan ^(-1)((x y)/(z r))

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    `tan ^(-1) x`
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    `tan ^(-1) y`
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