ASIN

Purpose:

Calculates the inverse sine of any expression.

Syntax:

ASIN(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

asin(-1..0.1..1)

 

image\asinpic01.gif

 

displays the the inverse sine from 1 to 1.

Example:

asin(1)

 

returns 1.57079633, or π/2.

Example:

asin(-2..0.1..2)

 

returns a 41 point complex series.

Remarks:

The inverse sine is defined as:

 

image\asin01.gif

 

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

 

image\asin02.gif

 

For |x| > 1, asin(x) returns a complex result.

 

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

See Also:

ACOS

ACSC

ASINH

GASIN

SIN

SINH

SETDEGREE

SETRADIAN

TRIGONOMETRIC FUNCTIONS