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Coversine


Coversine

The coversine is a little-used entire trigonometric function defined by

covers(z)=versin(1/2pi-z)
(1)
=1-sinz,
(2)

where versin(z) is the versine and sinz is the sine.

CoversineReIm
CoversineContours

The coversine can be extended to the complex plane as illustrated above.

Its derivative is given by

 d/(dz)covers(z)=-cosz,
(3)

and its indefinite integral by

 intcovers(z)dz=z+cosz+C.
(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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