Coversine

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

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

It obeys the identity:

:$extrm\{cvs\}(\; heta)\; =\; extrm\{versin\}left(frac\{pi\}\{2\}\; -\; heta\; ight).$

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.

ee also

* Versine

External links

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