[newbie] trying to simplify goniometric expression
Subject: [newbie] trying to simplify goniometric expression
From: Stavros Macrakis
Date: Mon, 25 Nov 2013 20:08:27 -0500
%pi not %PI
-s
On Nov 25, 2013 6:47 PM, "Hugo Coolens" <hugo.coolens at kuleuven.be> wrote:
> I defined the following function:
> phicalp(m,omega):=-sum(atan(omega/(4*(cos((k*%PI)/(2*m+1)))^2)),k,1,m);
>
> I expected that the following "test-expression" should give me "-omega" as
> a result:
> ratsimp(tan(phicalp(1,omega))),trigexpand=super;
>
> however maxima doesn't seem to simplify the denominator to one:
> omega
> (%o2) - -----------
> 2 %PI
> 4 cos (---)
> 3
>
> Which is the correct approach for this kind of simplification?
>
> thanks in advance
> hugo
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