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

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

## Formula

$$\sin^{-1}(\sin x)=x,\quad x\in\left[-\frac\pi2,\frac\pi2\right]$$

## Usage

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

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