Coversine

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In trigonometry, the coversine, denoted cvs(x), of an angle is defined as one minus the sine of the angle:

\mathrm{cvs}\,x = 1 - \sin x.

The derivative of the coversine is the opposite of the cosine

\frac{d}{dx}\mathrm{cvs}\,x = -\cos{x}\,

and the integral is

\int \mathrm{cvs}\, x \,dx = x + \cos{x} + C.

Very few applications of this function exist, and it is generally only used to provide a co-function for the versine.

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