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Re: TraditionForm Appears to be Inconsistent
*To*: mathgroup at smc.vnet.net
*Subject*: [mg99576] Re: [mg99551] TraditionForm Appears to be Inconsistent
*From*: Murray Eisenberg <murray at math.umass.edu>
*Date*: Fri, 8 May 2009 00:16:53 -0400 (EDT)
*Organization*: Mathematics & Statistics, Univ. of Mass./Amherst
*References*: <200905071040.GAA19666@smc.vnet.net>
*Reply-to*: murray at math.umass.edu
Because, I presume, Mathematica knows that Cos[x] always has the same
value as Sin[x + \[Pi]/2] no matter what x is; it evaluates both sides
of that equation and then decrees the equation True.
But Mathematica seems cautious if, for example, you enter
Cos[a + b I] + Sin[a + b I]
which it leaves unevaluated further. Then if you enter, say,
Exp[I \[Theta]]==Cos[\[Theta]]+I Sin[\[Theta]]/.\[Theta]->a+b I
then it returns the result without further evaluation.
uk.org.microserf at googlemail.com wrote:
> Hi
>
> The Mathematica 7 documentation says that
>
> TraditionalForm[Exp[I \[Theta]] == Cos[\[Theta]] + I Sin[\[Theta]]]
>
> will display the expression in traditional form, and indeed it does.
> However, the following evaluates the expression and then displays True
> in traditional form:
>
> TraditionalForm[Cos[x] == Sin[x + \[Pi]/2]]
>
> Why is TraditionalForm behaving differently in these two apparently
> identical situations, and how can I get Mathematica to display this
> trigonometric identity in traditional form?
>
> Thanks in advance
>
> Chris
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
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