ACSCH

Purpose:

Calculates the inverse hyperbolic cosecant of any expression.

ACSCH(val)

val

A scalar, series or table.

A scalar, series, or table.

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

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

acsch(2)

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

acsch(-2..0.1..2)

returns a 41 point real series.

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.