Inverse Cosine of $$\frac{2x}{1+x^2}$$

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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 $$\frac{2x}{1+x^2}$$.

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