Inverse Tangent of a Sum of Fractions

Rarely Tested

Inverse Tangent of a Sum of Fractions

## Formula

$$\tan^{-1}\frac{x+y}{1-xy}=\tan^{-1}x+\tan^{-1}y$$

when the principal-value condition is satisfied.

## Usage

- Used to recognize a sum of inverse tangent terms from a single fractional argument.

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