Range-Based Rule for $$\cos^{-1}(\cos x)$$

Rarely Tested

Range-Based Rule for $$\cos^{-1}(\cos x)$$

## Formula

For:

$$x\in[\pi,2\pi]$$

$$\cos^{-1}(\cos x)=2\pi-x$$

## Usage

- Used to reduce inverse cosine of cosine when $$x$$ lies in the third or fourth quadrant.

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