ASEC

Purpose:

Calculates the inverse secant of any expression.

ASEC(val)

val

A scalar, series or table.

A scalar, series, or table.

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

$image\asecpic01.gif$

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

asec(1)

returns 0.

asec(-2..0.1..2)

returns a 41 point complex series.

The inverse secant is defined as:

$image\asec01.gif$

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

$image\asec02.gif$

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

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