Re: Examples using Trig option
- To: mathgroup at smc.vnet.net
- Subject: [mg35274] Re: [mg35237] Examples using Trig option
- From: BobHanlon at aol.com
- Date: Fri, 5 Jul 2002 02:21:48 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
In a message dated 7/3/02 7:18:56 AM, ErsekTR at navair.navy.mil writes: >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. expr=Sin[x+y]-Cos[x-y]; Apart[expr, Trig->#]& /@ {True, False} {-Cos[y] (Cos[x]-Sin[x])+(Cos[x]-Sin[x]) Sin[y],-Cos[x-y]+Sin[x+y]} Expand[expr, Trig->#]& /@ {True, False} {-Cos[x] Cos[y]+Cos[y] Sin[x]+Cos[x] Sin[y]-Sin[x] Sin[y],-Cos[x-y]+Sin[x+y]} Factor[expr, Trig->#]& /@ {True, False} {-(Cos[x]-Sin[x]) (Cos[y]-Sin[y]),-Cos[x-y]+Sin[x+y]} Bob Hanlon Chantilly, VA USA