The versine, also known as the "versed sine," is a little-used trigonometric function defined by
where is the sine
and is the cosine.
The versine can be extended to the complex plane
as illustrated above.
Its derivative is given by
and its indefinite integral by
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ReferencesAbramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.
New York: Dover, p. 78, 1972.
Referenced on Wolfram|AlphaVersine
Cite this as:
Weisstein, Eric W. "Versine." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Versine.html