ARSINH Function

Returns the inverse hyperbolic sine.

Category:

Hyperbolic

Syntax

ARSINH(x)

specifies a numeric constant, variable, or expression.

Range

−∞‹ x ‹∞

The ARSINH function computes the inverse hyperbolic sine. The ARSINH function is mathematically defined by the following equation, where

- \infty < x < \infty

\begin{matrix} A R S I N H (x) = l o g (x + \sqrt[]{x^{2} + 1}) \end{matrix}

Replace the infinity symbol with the largest double precision number that is available on your machine.

The following example computes the inverse hyperbolic sine.

data _null_;
   x=arsinh(5);
   x1=arsinh(-5);
   put x=;
   put x1=;
run;

SAS writes the following output to the log:

x=2.3124383413
x1=-2.312438341