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 equalsx.

For a number,x, equal to or greater than 0, and equal to or less than 1, the positive number whose hyperbolic cosecant equalsx; it is the value atxof the restriction of the hyperbolic secant function to the positive numbers.