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Re: TraditionForm Appears to be Inconsistent

• To: mathgroup at smc.vnet.net
• Subject: [mg99557] Re: [mg99551] TraditionForm Appears to be Inconsistent
• From: "David Park" <djmpark at comcast.net>
• Date: Fri, 8 May 2009 00:13:05 -0400 (EDT)
• References: <9293149.1241693402776.JavaMail.root@n11>

Because Mathematica automatically simplifies the second expression but not
the first expression. So use a HoldForm:

TraditionalForm[HoldForm[Cos[x] == Sin[x + \[Pi]/2]]]
% // ReleaseHold

To verify the first equation use ExpToTrig.

TraditionalForm[Exp[I \[Theta]] == Cos[\[Theta]] + I Sin[\[Theta]]]
% // ExpToTrig

One just has to get used to what simplifications Mathematica automatically
does and which ones it doesn't do. Some of the automatic ones are annoying,
such as 1/Sin[x] -> Csc[x].


David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/  



From: uk.org.microserf at googlemail.com 
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