# Lars Eighner's Homepage

## LarsWiki

### The Derivative of Versed Cosine

Versed cosine aka vercosin

Do not confuse with coversedsine.

##### Contents

{$$\operatorname{vercosin}\theta = 1 + \cos\theta$$}

It is sometimes given as {$$\operatorname{vercosin}\theta = 2\cos\left( {\theta \over 2} \right)$$}

For what it is worth, obviously:

{$$\operatorname{vercosin}\theta = 2\cos\theta + \operatorname{ver}\theta$$}

{$y = \operatorname{vercosin}(x)$} and {$y=\operatorname{arcvercosin}(x)$}

The demonstration:

{\begin{align} \operatorname{vercosin}\theta &= 1 + \cos\theta \cr (\operatorname{vercosin}\theta)^\prime &= (1 + \cos\theta)^\prime \cr &= (1)^\prime + \cos^\prime\theta \cr \therefore \quad \operatorname{vercosin}^\prime\theta &= - \sin\theta \end{align}}

Sources:

Recommended:

Category: Math Calculus Trigonometry

This is a student's notebook. I am not responsible if you copy it for homework, and it turns out to be wrong.

Figures are often enhanced by hand editing; the same results may not be achieved with source sites and source apps.

### December 23, 2018

• HomePage
• WikiSandbox

Lars

Contact by Snail!

Lars Eighner
APT 1191
8800 N IH 35
AUSTIN TX 78753
USA

Help