arc-hyperbolic secant

arc-hyperbolic secant

[‚ärk ‚hī·pər‚bäl·ik ′sē‚kant]
(mathematics)
Also known as inverse hyperbolic secant.
For a number, x, equal to or greater than 0 and equal to or less than 1, either of the two numbers whose hyperbolic secant equals x.
For a number, x, equal to or greater than 0, and equal to or less than 1, the positive number whose hyperbolic cosecant equals x ; it is the value at x of the restriction of the hyperbolic secant function to the positive numbers.