Hola,
I was wondering about following eerie behavior of "solve" function:
On the one hand, "force" value of "to_poly_solve" option seems to be more
powerful as for periodicity of solutions:
sage: solve(tan(x)==1,x,to_poly_solve=True)
[x == 1/4*pi]
sage: solve(tan(x)==1,x,to_poly_solve="force")
[x == 1/4*pi + pi*z275]
On the other hand, "True" value of "to_poly_solve" occasionally gives out
better outputs:
sage: solve(sin(x)/cos(x)-1,x,to_poly_solve=True)
[x == 1/4*pi + pi*z299]
sage: solve(sin(x)/cos(x)-1,x,to_poly_solve="force")
[]
However, "tan(x)==1" appears to me as an equivalent form of
"sin(x)/cos(x)-1==0".
Is this a bug or is it covered somewhere else?
Duc Trung Ha
Sage Version 4.8, Release Date: 2012-01-20
Intel(R) Core(TM) i5-2410M CPU @ 2.30GHz
Ubuntu 11.10
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