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Simplification question


Can someone explain this to me please.

Clear[m]

Simplify[Sin[3 m Pi], Assumptions -> m \[Element] Integers]
0

Simplify[Cos[3 m Pi], Assumptions -> m \[Element] Integers]

Cos[3 m \[Pi]]

I'm not sure why Mathematica cannot deduce that the second simplification 
should be (1)^m.


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