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<A NAME=COTH>

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



<B>COTH</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
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The <em>coth</em> operator returns the hyperbolic cotangent of its argument. 
The derivative of <em>coth</em> and some simple transformations are known 
to the system. 
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syntax: </H3>
<em>coth</em>(&lt;expression&gt;) or <em>coth</em> &lt;simple\_expression&gt; 
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&lt;expression&gt; may be any scalar REDUCE expression. &lt;simple\_expression
&gt; 
must be a single identifier or begin with a prefix operator name. 
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examples: </H3>
<P><PRE><TT>
df(coth(x*y),x); 

                2
  - Y*(COTH(X*Y)   - 1) 



coth acoth z; 

  Z

</TT></PRE><P>You can write 
<A HREF=r37_0199.html>let</A> statements and procedures to add further 
functionality to <em>coth</em> if you wish. Numerical values of expressions 
involving <em>coth</em> may also be found by turning on the switch 

<A HREF=r37_0330.html>rounded</A>. 
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