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Simplification question

Can someone explain this to me please.


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

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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