Inverse Tangent Difference Formula

Rarely Tested

Inverse Tangent Difference Formula

## Formula

$$\tan^{-1}x-\tan^{-1}y=\tan^{-1}\left(\frac{x-y}{1+xy}\right)$$

with the appropriate principal-value adjustment when required.

## Usage

- Used to simplify the difference of two inverse tangent expressions.

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