Inverse Sine Addition Formula

Rarely Tested

Inverse Sine Addition Formula

## Formula

$$\sin^{-1}x+\sin^{-1}y=\sin^{-1}\left(x\sqrt{1-y^2}+y\sqrt{1-x^2}\right)$$

provided the resulting principal value lies in the valid range.

## Usage

- Used to combine two inverse sine terms into a single inverse sine expression.

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