The coversine is a little-used entire trigonometric
function defined by
where
is the versine
and
is the sine.
![CoversineReIm](images/eps-svg/CoversineReIm_900.svg)
The coversine can be extended to the complex plane
as illustrated above.
Its derivative is given by
![d/(dz)covers(z)=-cosz,](/images/equations/Coversine/NumberedEquation1.svg) |
(3)
|
and its indefinite integral by
![intcovers(z)dz=z+cosz+C.](/images/equations/Coversine/NumberedEquation2.svg) |
(4)
|
See also
Covercosine,
Excosecant,
Exsecant,
Hacovercosine,
Hacoversine,
Havercosine,
Haversine,
Vercosine,
Versine
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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
Coversine
Cite this as:
Weisstein, Eric W. "Coversine." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Coversine.html
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