ACOTH

Purpose:

Calculates the inverse hyperbolic cotangent of any expression.

Syntax:

ACOTH(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

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

 

 

image\acothpic01.gif

 

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

Example:

acoth(2)

 

returns 0.54930614.

Example:

acoth(-2..0.1..2)

 

returns a 41 point complex series.

Remarks:

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.

Remarks:

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

See Also:

ACOT

ATANH

COT

COTH

GACOTH

TRIGONOMETRIC FUNCTIONS