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MathGroup Archive 2001

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Re: Expanding Trig Power Identities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30357] Re: [mg30348] Expanding Trig Power Identities
  • From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
  • Date: Sun, 12 Aug 2001 02:29:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

For example:

In[78]:=
TrigReduce[ Cos[a](Cos[b])^3]

Out[78]=
1
- (Cos[a - 3 b] + 3 Cos[a - b] + 3 Cos[a + b] + Cos[a + 3 b])
8

Andrzej Kozlowski
Toyama International University
JAPAN
http://platon.c.u-tokyo.ac.jp/andrzej/
On Saturday, August 11, 2001, at 04:40  PM, atjurhs wrote:

> How can I use Mathematica to find the expansion of various 
> trigonometric power
> identities?  I've already tried TrigExpand w/o succes.
>
> I have functions of the form Sin[a](Sin[b])^n  and  Cos[a](Cos[b])^n
> where n is a power.
>
> I would like to get the fully expanded version of these functions, so
> that there are no more powers involved.  If n=1 then the answer is
> just the standard product relations that you can look up in the back
> of any trig book.  But I need to be able to do it for higher powers of
> n.  And I don't know how to even do it for n=1.
>
>



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