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weird behavior with trigonometric equation

Has anybody an explanation for this output?

print bool( tan(pi/6) == sin(pi/6)/cos(pi/6) )
print bool( tan(pi/5) == sin(pi/5)/cos(pi/5) )
print bool( tan(pi/5).n() == sin(pi/5).n()/cos(pi/5).n() )

    True
    False
    True