Bug in cos function in version 7.2
I have 'SageMath version 7.2, Release Date: 2016-05-15' and when I enter cos(pi*(1+(5/63)))
it returns cos(5/63*pi)
which is incorrect (there should be a negative sign in front). Entering cos(N(pi)*(1+(5/63)))
returns -0.969077286229078
which is correct, but entering N(cos(pi\*(1+(5/63))))
returns 0.969077286229078
. Similar things happen when 5/63
is replaced with other fractions, but not always. Usually if the fraction is "nice", like 1/4
or 1/5
then it seems to get the right answer. I assume this has something to do with the exact answer being able to be expressed nicely with square roots, but I don't really know. Same happens with sin
as far as I can tell. Anybody else having this problem?