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
 |
(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 Wolfram|Alpha
Versine
Cite this as:
Weisstein, Eric W. "Versine." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Versine.html
Subject classifications
