ASEC

Purpose:

Calculates the inverse secant of any expression.

Syntax:

ASEC(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

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

 

 

image\asecpic01.gif

 

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

Example:

asec(1)

 

returns 0.

Example:

asec(-2..0.1..2)

 

returns a 41 point complex series.

Remarks:

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.

See Also:

ACOS

ASECH

GASEC

SEC

SECH

SETDEGREE

SETRADIAN

TRIGONOMETRIC FUNCTIONS