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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.
- Results about versed sines can be found here.
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.
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): versed sine