DADiSP Worksheet Functions > Function Categories > Trigonometric Functions > ACSC

 

ACSC

Purpose:

Calculates the inverse cosecant of any expression.

Syntax:

ACSC(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

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

 

 

image\acscpic01.gif

 

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

Example:

acsc(-1)

 

returns -1.57079633, or -π/2.

Example:

acsc(-2..0.1..2)

 

returns a 41 point complex series.

Remarks:

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.

See Also:

ACSCH

ASIN

CSC

CSCH

GACSC

SETDEGREE

SETRADIAN

TRIGONOMETRIC FUNCTIONS