ACOTH

Purpose:

Calculates the inverse hyperbolic cotangent of any expression.

ACOTH(val)

val

A scalar, series or table.

A scalar, series, or table.

acoth(-10..0.01..10);gridhv;griddot

$image\acothpic01.gif$

displays the real part of the inverse hyperbolic cotangent from –10 to 10.

acoth(2)

returns 0.54930614.

acoth(-2..0.1..2)

returns a 41 point complex series.

The inverse hyperbolic cotangent is defined as:

$image\acoth01.gif$

for all complex z. The function is multi-valued and this definition places the branch cut in the complex plane at [-1, 1].

$image\acosh02.gif$

For |x| < 1, acoth(x) returns a complex result.

SETDEGREE and SETRADIAN have no effect on this function because it always operates in radians.