Composition of $$\cos^{-1}x$$ with $$\cos$$

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Composition of $$\cos^{-1}x$$ with $$\cos$$

## Formula

$$\cos^{-1}(\cos x)=x,\quad x\in[0,\pi]$$

## Usage

- Used only when $$x$$ lies within the principal range of $$\cos^{-1}x$$.

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