It seems to me that algebraically any transformation that eliminates or
adds an extra sqrt is likely incorrect.  So I would say that (1) in your
example is very suspicious.

On 25 September 2014 20:04, kfp <[email protected]> wrote:

>
> Indeed. Since we get
>
> (1) -> normalize sqrt(1-sin(z)^2)
>
>              z 2
>          tan(-)  - 1
>              2
>    (1)  -----------
>              z 2
>          tan(-)  + 1
>              2
> *but*
>
>                                              Type: Expression(Integer)
> (2) -> normalize cos(z)
>
>                z 2
>          - tan(-)  + 1
>                2
>    (2)  -------------
>               z 2
>           tan(-)  + 1
>               2
>
> it's accountable. BTW OpenAxiom gives a correct answer.
>
>
>
>> But also
>>
>> (1) -> complexNormalize acos(cos(z))
>>
>>    (1)  - z
>>
>>
>>
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