Inverse Cosine of $$\frac{2x}{1+x^2}$$
## Formula
For $$x\ge0$$:
$$\cos^{-1}\left(\frac{2x}{1+x^2}\right)=\left|\frac\pi2-2\tan^{-1}x\right|$$
## Usage
- Used to simplify inverse cosine expressions containing the standard rational form $$\frac{2x}{1+x^2}$$.