ARCOSH Function

Returns the inverse hyperbolic cosine.

Category:

Hyperbolic

Syntax

ARCOSH(x)

specifies a numeric constant, variable, or expression.

Range

x >= 1

The ARCOSH function computes the inverse hyperbolic cosine. The ARCOSH function is mathematically defined by the following equation, where x >= 1:

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

The following example computes the inverse hyperbolic cosine.

data _null_;
   x=arcosh(5);
   x1=arcosh(13);
   put x=;
   put x1=;
run;

SAS writes the following output to the log:

x=2.2924316696
x1=3.2566139548