I'd be in favor of the change (keeping arc- as an alias, of course).  It is 
not a good experience to explain in the course how the function is defined, 
and then see sage print it wrong.

On Wednesday, 23 March 2022 at 11:54:34 UTC+1 kcrisman wrote:

> In terms of the missions statement, apparently we aren't the only ones, so 
> consistency might be more important in any case: 
> https://reference.wolfram.com/language/ref/ArcTanh.html
>
> Note e.g. sympy uses atanh as the "ordinary": 
> https://docs.sympy.org/latest/modules/functions/elementary.html#atanh
>
> On Wednesday, March 23, 2022 at 4:54:16 AM UTC-4 Samuel Lelievre wrote:
>
>> Note that Sage also provides aliases with `a-`
>> (the display is still with `arc-`):
>> ```
>> sage: asinh, acosh, atanh, acoth, asech, acsch
>> (arcsinh, arccosh, arctanh, arccoth, arcsech, arccsch)
>> ```
>>
>>

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