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Re: Examples using Trig option

• To: mathgroup at smc.vnet.net
• Subject: [mg35407] Re: Examples using Trig option
• From: "Dana DeLouis" <delouis at bellsouth.net>
• Date: Thu, 11 Jul 2002 05:24:15 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

I am new myself, and trying to learn.  I went to 
http://search.wolfram.com and searched "Trig->True" under "The Document
Center."
There was only 1 result.  It pointed to a Mathematica 3 example.

Denominator[Cos[3*x]/Sin[2*x]]
1

Denominator[Cos[3*x]/Sin[2*x], Trig -> True]
Sin[2*x]

Apparently, this can make a big difference on what one is expecting for
an answer.
I "think" it is because Mathematica is not using "Denominator" directly,
but Times & Power instead.
 
-- 
Dana 
Windows XP  & Mathematica 4.1
= = = = = = = = = = = = = = = = = 


"Ersek, Ted R" <ErsekTR at navair.navy.mil> wrote in message
news:afugd0$rr4$1 at smc.vnet.net...
> Hello  mathgroup,
> 
> The usage message for Trig says:
> 
> Trig is an option for algebraic manipulation functions which specifies
> whether trigonometric functions should be treated as rational
functions of
> exponentials.
> ---------
> 
> The built-in functions that have the Trig option are:  
> Apart, ApartSquareFree, Cancel, Coefficient, CoefficientList, Collect,
> Denominator, Expand, ExpandAll, ExpandDenominator, ExpandNumerator,
> Exponent, Factor, FactorList, FactorSquareFree, FactorSquareFreeList,
> FactorTerms, FactorTermsList, FullSimplify, Numerator, PolynomialGCD,
> PolynomialLCM, PolynomialMod, Resultant, Simplify, Together.
> 
> 
> After searching all available documentation I can't find a single
example of
> where 
> f[expr, Trig->True]   would give a different result than 
> f[expr, Trig->False], and I can't come up with one on my own. Can you
give
> some examples. An example for each function above is not necessary.
> 
> ---------
> Thanks,
>   Ted Ersek
>   Get Mathematica tips, tricks from
>   http://www.verbeia.com/mathematica/tips/Tricks.html