ACSC

Purpose:

Calculates the inverse cosecant of any expression.

ACSC(val)

val

A scalar, series or table.

A scalar, series, or table.

acsc(-12..0.01..12);gridhv;griddot

$image\acscpic01.gif$

displays the real part of the inverse cosecant from –12 to 12.

acsc(-1)

returns -1.57079633, or -π/2.

acsc(-2..0.1..2)

returns a 41 point complex series.

The inverse cosecant is defined as:

$image\acsc01.gif$

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

$image\acsc02.gif$

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

The function calculates in radians unless degrees are specified with the SETDEGREE function.