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.