Ya macrakis
if first step is possible case,
I think your problem can be solved in one function.
example
simp:false$
a:cos(%pi/3)*sin(2*%pi/9)+sin(%pi/3)*cos(2*%pi/9))/
(sin(%pi/3)*sin(2*%pi/9)-cos(%pi/3)*cos(2*%pi/9))$
subst(['%pi=x],%);
simp:true$
trigreduce(%);
trigsimp(subst([x=%pi],%);
-sin(5*%pi/9)/cos(5*%pi/9) return.
generaly transporte %pi --->x,simprule can adapte it.
after x-->%pi.
But first step is due to human ??
thanks
Gosei Furuya
2006/10/26, Stavros Macrakis <macrakis at gmail.com>:
>
> Any clever ideas about how to simplify
>
>
> (sin(2*%pi/9)+sqrt(3)*cos(2*%pi/9))/(sqrt(3)*sin(2*%pi/9)-cos(2*%pi/9))
>
> to
>
> tan(4*%pi/9) ?
>
> Thanks,
>
> -s
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