Hey, all.

In another thread, someone was asking a question which involved solving this equation for x:

$\displaystyle \frac{\arctan{x}}{\arccos{x}}=\frac{\sqrt{1-x^2}}{1+x^2}$

How would one go about tackling something like that? Can it even be done?

I'm not asking about this equation specifically. Wikipedia has a few helpful identities, but nothing which I can use to solve the above equation for x.

Thoughts?