Re: TrigExpand - Odd behavior

• To: mathgroup at smc.vnet.net
• Subject: [mg55433] Re: TrigExpand - Odd behavior
• From: DrBob <drbob at bigfoot.com>
• Date: Wed, 23 Mar 2005 05:34:43 -0500 (EST)
• References: <200503220851.DAA23768@smc.vnet.net>
• Reply-to: drbob at bigfoot.com
• Sender: owner-wri-mathgroup at wolfram.com

```It's a rather useless result, I agree, but completely accurate (AFAIK).

"Degree" is a symbol, so TrigExpand gave you the full expansion (using sum-angle formulas) of the linear expression 45 Degree + x. Try entering Cos[x + 45 y] // TrigExpand (with x and y undefined) and you'll see a similar expression. After the expansion, there were no rules available to simplify its terms.

This goes very differently:

TrigExpand[Cos[x + Pi/4]]
Cos[x]/Sqrt[2] - Sin[x]/Sqrt[2]

45 Degree is Pi/4, but TrigExpand didn't "think" to apply that rule before the expansion. Often mathematics comes down to WHICH rules are used in what ORDER, and TrigExpand is biased toward sum-angle formulas and such.

Bobby

On Tue, 22 Mar 2005 03:51:07 -0500 (EST), Bob Stagat <stagat at linkline.com> wrote:

>
> Try executing the following three lines and explain the last result...
>
> Cos[45 Degree]
>
> Cos[x+45 Degree]
>
> Cos[x+45 Degree]//TrigExpand
>
> Thanks...
> ~ BS ~
>
>
>
>

--
DrBob at bigfoot.com

```

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