ACSCH

Purpose:

Calculates the inverse hyperbolic cosecant of any expression.

Syntax:

ACSCH(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

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

 

 

image\acschpic01.gif

 

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

Example:

acsch(2)

 

returns 0.48121183 = ln(φ), where φ is the golden ratio or golden mean.

Example:

acsch(-2..0.1..2)

 

returns a 41 point real series.

Remarks:

The inverse hyperbolic cosecant is defined as:

 

image\acsch01.gif

 

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

 

image\acsch02.gif

 

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

See Also:

ACSC

ASINH

CSC

CSCH

GACSCH

TRIGONOMETRIC FUNCTIONS