This is now Trac#24211 <https://trac.sagemath.org/ticket/24211>, flagged as 
defect and major (I considered to mark it as critical, but tought that I 
had no persuasive reasons to do so ; feel free to overrule if necessary).

HTH,

--
Emmanuel Charpentier

Le lundi 13 novembre 2017 08:27:53 UTC+1, Emmanuel Charpentier a écrit :
>
> On 8.1.rc0. Consider :
>
> sage: import sympy
> sage: [arcsin(t) for t in [0, 1/2, sqrt(2)/2, sqrt(3)/2, 1]]
> [0, 1/6*pi, arcsin(1/2*sqrt(2)), arcsin(1/2*sqrt(3)), 1/2*pi]
> sage: [maxima.asin(t).sage() for t in [0, 1/2, sqrt(2)/2, sqrt(3)/2, 1]]
> [0, 1/6*pi, 1/4*pi, 1/3*pi, 1/2*pi]
> sage: [sympy.asin(t)._sage_() for t in [0, 1/2, sqrt(2)/2, sqrt(3)/2, 1]]
> [0, 1/6*pi, 1/4*pi, 1/3*pi, 1/2*pi]
> sage: [arctan(t) for t in [0, 1/sqrt(3), 1, sqrt(3)]]
> [0, arctan(1/3*sqrt(3)), 1/4*pi, arctan(sqrt(3))]
> sage: [maxima.atan(t).sage() for t in [0, 1/sqrt(3), 1, sqrt(3)]]
> [0, 1/6*pi, 1/4*pi, 1/3*pi]
> sage: [sympy.atan(t)._sage_() for t in [0, 1/sqrt(3), 1, sqrt(3)]]
> [0, 1/6*pi, 1/4*pi, 1/3*pi]
>
> This is not a bug *stricto sensu* (the answers are not false), but is 
> certainly a lack of functionality.
>
> Ticket-worthy ? (I think so...)
>
> HTH,
>
> --
> Emmanuel Charpentier
>

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