Inverse Cosine Difference Formula

Rarely Tested

Inverse Cosine Difference Formula

## Formula

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

provided the principal-value condition is satisfied.

## Usage

- Used to simplify the difference of two inverse cosine expressions.

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