Question: How to simplify sin(4*pi*w)/sin(2*pi*w) (Answer: 2*cos(2*pi*w), but how to get it?(

I would like to simplify


The answer I am looking for is 2*cos(2*pi*w).

Does anyone have an idea how to do this is Maple? Some earlier version of Maple I used could do this, 

simplify( sin(4*pi*w)/sin(2*pi*w) ) =  2*cos(2*pi*w)

There a plenty of different trigonometric representations for the answer, so my hypothesis is that I should somehow tell to Maple which I am looking for. 

For example


Which is better, but still not the answer I am looking for

Best Regards,





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