Solve the equation:

Tan^{-1 }[(x-1)/(x-2)] + Tan^{-1 }[(x+1)/(x+2)] = π/4

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- May 17th 2012, 11:25 PMMegamindA problem involving Inverse trignometry.
Solve the equation:

Tan^{-1 }[(x-1)/(x-2)] + Tan^{-1 }[(x+1)/(x+2)] = π/4 - May 18th 2012, 12:06 AMsbhatnagarRe: A problem involving Inverse trignometry.
We have

By using the famous identity, we obtain

- May 18th 2012, 04:23 AMMegamindRe: A problem involving Inverse trignometry.
I had tried it the same way, but I had a few queries regarding it as thus.

1)This identity is valid when the following conditions are satisfied:

*a) x>0*

b) y>0

c) xy<1

I was apprehensive about how I could ascertain the fact that the question satisfies these conditions.__Or is it any other vital piece of concept I am lacking?__

2)Secondly could you please tell me if the site "www.wolframalpha.com", which is a computational knowledge engine, gives the same answer as the above(ie: root of 1.5), or first of all is it correct to tally this answer to the one that computational engine is producing?

Well, I thank you**sbhatnagar**.

And I would be glad if you, or anyone could help me with my doubts as stated above.