The versine, also known as the "versed sine," is a littleused 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

(3)

and its indefinite integral by

(4)

See also
Covercosine,
Coversine,
Excosecant,
Exsecant,
Hacovercosine,
Hacoversine,
Havercosine,
Haversine,
Sine,
Vercosine
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References
Abramowitz, 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 WolframAlpha
Versine
Cite this as:
Weisstein, Eric W. "Versine." From MathWorldA Wolfram Web Resource. https://mathworld.wolfram.com/Versine.html
Subject classifications