Solve the equation:
Tan^{-1 }[(x-1)/(x-2)] + Tan^{-1 }[(x+1)/(x+2)] = π/4
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.