Definitions
Nearby Words

# Coversine

[koh-ver-sahyn, koh-vur-sahyn]

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

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

It obeys the identity:

$textrm\left\{cvs\right\}\left(theta\right) = textrm\left\{versin\right\}left\left(frac\left\{pi\right\}\left\{2\right\} - thetaright\right).$

The derivative of the coversine is the opposite of the cosine

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

and the integral is

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

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