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MathGroup Archive 2006

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Re: Trigonometric simplification

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68872] Re: Trigonometric simplification
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Mon, 21 Aug 2006 06:33:33 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <ecbnnc$r29$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

carlos at colorado.edu wrote:
> As an intermediate result of some calculations I have
> the expression
> 
>    r=Tan[a]^2/(Sec[a]^2)^(3/2)
> 
> where a is real. How can I coerce Mathematica into
> simplifying that to
> 
>    r=Cos[a]*Sin[a]^2
> 
> Both Simplify and FullSimplify with assumptions on a
> fail to get the simpler form.

Hi Carlos,

Using TrigReduce before Simplify will do it:

r = Tan[a]^2/(Sec[a]^2)^(3/2);
Simplify[TrigReduce[r], Assumptions -> {a > 0, Sec[a] > 0}]

--> Cos[a]*Sin[a]^2

Best regards,
Jean-Marc


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