# Definition:Versed Sine

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## Definition

The **versed sine** of an angle is defined as:

- $\vers \theta = 1 - \cos \theta$

## Also known as

The **versed sine** is also known as the **versine**.

## Also see

## Linguistic Note

The term **versed sine** derives from the Latin **sinus versus**, which literally means **turned sine** or **flipped sine**.

This arises from the fact that the **versed sine** is the horizontal distance from the end of the cosine to the edge of the circle, while the sine itself is the vertical distance.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**versed sine**