Inverse Tangent of a Difference of Fractions

Rarely Tested

Inverse Tangent of a Difference of Fractions

## Formula

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

provided the right-hand side lies in the principal range.

## Usage

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

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.