Question

Solve: $tan^{-1}(\frac{x-1}{x-2})+tan^{-1} (\frac{x+1}{x+2})=\frac{\pi }{4}$

Answer 1

$<b><i>$
Hey there!


Refer to the above attachment.


The identities used:


tan^-1 x + tan^-1 y = tan^-1 ( x + y / 1- xy)

Tan(π/4) = 1

or

tan45° = 1


By using these Identities we get :


x =±$\frac{1}{\sqrt2}$


Hope this will helps you.


#Be Brainly.