Periodic Reduction for $$\cot^{-1}(\cot x)$$

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Periodic Reduction for $$\cot^{-1}(\cot x)$$

## Formula

If:

$$x=n\pi+\theta,\quad \theta\in(0,\pi)$$

then:

$$\cot^{-1}(\cot x)=\theta$$

## Usage

- Used to reduce inverse cotangent of cotangent to its principal value.

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