Inverse Tangent of a Negative Reciprocal

Rarely Tested

Inverse Tangent of a Negative Reciprocal

## Formula

For $$x>0$$:

$$\tan^{-1}\left(-\frac1x\right)=\tan^{-1}x-\frac\pi2$$

## Usage

- Used to simplify inverse tangent expressions involving negative reciprocals.

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