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<A NAME=SINH>

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



<B>SINH</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
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The <em>sinh</em> operator returns the hyperbolic sine of its argument. 
The derivative of <em>sinh</em> and some simple transformations are known 
to the system. 
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 <P> <H3> 
syntax: </H3>
<em>sinh</em>(&lt;expression&gt;) or <em>sinh</em> &lt;simple\_expression&gt; 
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&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. 
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 <P> <H3> 
examples: </H3>
<P><PRE><TT>

sinh b; 

  SINH(B) 



sinh(0); 

  0 


df(sinh(x**2),x); 

          2
  2*COSH(X )*X 


int(sinh(4*x),x); 

  COSH(4*X)
  --------- 
      4


on rounded; 

sinh 4; 

  27.2899171971

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


<A HREF=r37_0245.html>asinh</A>). 
A numeric value is not returned by <em>sinh</em> unless the switch 

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

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