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

Rarely Tested

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

## Formula

$$\tan^{-1}\left(\frac1{1+x^2}\right)$$

does not have a general algebraic reduction to $$\tan^{-1}x$$.

## Usage

- Important for avoiding invalid application of inverse-tangent identities.

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