[newbie] trying to simplify goniometric expression



On Thu, 21 Nov 2013, Marco Verpelli wrote:

> Maybe you shoud try use %pi and not %PI
Very true, indeed! Thanks a lot for helpingme out

kind regards,
hugo



> Regards.
>
> Marco
>
>
> In data 21 novembre 2013 alle ore 10:40:04, Hugo Coolens 
> <hugo.coolens at kuleuven.be> ha scritto:
>
>> 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
>> p.s. accept my apologies if this message is posted twice. Since my email 
>> address was changed recently, the message was initially refused, so I had 
>> to change my subscription email address to the new one
>> 
>> 
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