info prev up next book cdrom email home

Versine


\begin{displaymath}
\mathop{\rm vers}(z)\equiv 1-\cos z,
\end{displaymath}

where $\cos z$ is the Cosine. Using a trigonometric identity, the versine is equal to

\begin{displaymath}
\mathop{\rm vers}(z)=2\sin^2({\textstyle{1\over 2}}z).
\end{displaymath}

See also Cosine, Coversine, Exsecant, Haversine


References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 78, 1972.




© 1996-9 Eric W. Weisstein
1999-05-26