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Re: Trigonometric simplification

• To: mathgroup at smc.vnet.net
• Subject: [mg68957] Re: Trigonometric simplification
• From: Peter Pein <petsie at dordos.net>
• Date: Fri, 25 Aug 2006 05:35:18 -0400 (EDT)
• References: <ecbnnc$r29$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

carlos at colorado.edu schrieb:
> 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.
> 
At least FullSimplify doesn't:

In[1]:=
FullSimplify[Tan[a]^2/(Sec[a]^2)^(3/2), -Pi < 2*a < Pi]
Out[1]=
Cos[a]*Sin[a]^2