Exsecant

The exsecant is a little-used trigonometric function defined by

(1)

where  is the secant.

The exsecant can be extended to the complex plane as illustrated above.

Its derivative is given by

(2)

and its indefinite integral by

(3)

REFERENCES:

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