Re: Trigonometric simplification
- To: mathgroup at smc.vnet.net
- Subject: [mg68889] Re: [mg68838] Trigonometric simplification
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Tue, 22 Aug 2006 05:20:27 -0400 (EDT)
- References: <200608210727.DAA27449@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
On 21 Aug 2006, at 09:27, 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. > I would not be very happy if Mathematica did what you seem to want it to do only under the assumptions that a is real since: r = Tan[a]^2/(Sec[a]^2)^(3/2) Assuming[Pi/2 < a < 3*(Pi/2), Simplify[r]] (-Cos[a])*Sin[a]^2 On the other hand: Assuming[-Pi/2 < a < Pi/2, Simplify[r]] Cos[a]*Sin[a]^2 Andrzej Kozlowski
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- From: carlos@colorado.edu
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