ASINH

Purpose:

Calculates the inverse hyperbolic sine of any expression.

Syntax:

ASINH(val)

val

-

A scalar, series or table.

Returns:

A scalar, series, or table.

Example:

asinh(-10..0.01..10);gridhv;griddot

 

 

image\asinhpic01.gif

 

displays the inverse hyperbolic sine from 10 to 10.

Example:

asinh(i)

 

returns 0 + 1.570796 i or (π/2)i.

Example:

asinh(-2..0.1..2)

 

returns a 41 point real series.

Remarks:

The inverse hyperbolic sine is defined as:

 

image\asinh01.gif

 

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

 

SETDEGREE and SETRADIAN have no effect on this function because it always operates in radians.

See Also:

ACSCH

ASIN

GASINH

SIN

SINH

TRIGONOMETRIC FUNCTIONS