Hola,          
               
Am I missing something or is this behavior rather peculiar:

sage: bool(sin(x) == sin(x+2*pi))
True

...however:

plot(sin(x) - sin(x+2*pi))

gives out the result:
http://aleph.sagemath.org/?c=plot%28sin%28%282%2Api%29+%2B+x%29+-+sin%28x%29%2C-100%2C100%29
               
Moreover, example below isn't even recognized as an identity:

sage: bool ( sin((2*pi^2 + x)/pi) == sin(x/pi) )
False

Is this a bug or is it covered somewhere else?

Thanks for replies.
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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