File r37/lisp/csl/html/r37_0250.html artifact d7f0f0d6b2 part of check-in ed2818cf9f

<A NAME=COSH>

<TITLE>COSH</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>COSH</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
 <P>
<P>
The <em>cosh</em> operator returns the hyperbolic cosine of its argument. 
The derivative of <em>cosh</em> and some simple transformations are known 
to the system. 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>cosh</em>(&lt;expression&gt;) or <em>cosh</em> &lt;simple\_expression&gt; 
<P>
<P>
<P>
&lt;expression&gt; may be any scalar REDUCE expression, not an array, matrix or 

vector expression. &lt;simple\_expression&gt; must be a single identifier or 
begin with a prefix operator name. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>

cosh b; 

  COSH(B) 



cosh(0); 

  1 



df(cosh(x*y),x); 

  SINH(X*Y)*Y 



int(cosh(x),x); 

  SINH(X)

</TT></PRE><P>You may attach further functionality by defining its inverse (see 


<A HREF=r37_0237.html>acosh</A>). 
A numeric value is not returned by <em>cosh</em> unless the switch 

<A HREF=r37_0330.html>rounded</A> is on and its argument evaluates to a number. 

<P>
<P>
<P>
<P>