OK on second thought I guess I agree that it is only safe to simplify

   sin(arcsin(z)) to z

for all z (including complex z) but it in general it is wrong to simplify

  arcsin(sin(z)) to z

since z is only one of the possible branches.


On 25 September 2014 20:25, Bill Page <[email protected]> wrote:

> Although I agree that such auto-simplification would hide what is
> happening in normalize but otherwise why do you say that it is undesirable?
>
>
> On 25 September 2014 20:16, Waldek Hebisch <[email protected]>
> wrote:
>
>> kfp wrote:
>> >
>> > BTW OpenAxiom gives a correct answer.
>>
>> Well, old version of FriCAS did:
>>
>> (3) -> asin(sin(x))
>>
>>    (3)  x
>>                                                     Type:
>> Expression(Integer)
>>
>> But this simplification is undesirable outside of 'normalize'
>> and is no longer applied by default.
>>
>>
>>
>>
>> --
>>                               Waldek Hebisch
>> [email protected]
>>
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>

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