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