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Question: why is 2*cos(x)^2-1 simpler than 1-2*sin(x)^2

Question:why is 2*cos(x)^2-1 simpler than 1-2*sin(x)^2

nm 8552
simplification
July 25 2015
1

Maple 2015:

simplify(1-2*sin(x)^2);  gives 2*cos(x)^2-1

I looked at help trying to understand why Maple thinks 2*cos(x)^2-1 is simpler than 1-2*sin(x)^2 but did not see it. I was expecting to see cos(2*x) as a result.

Is there a place to understand more Maple's simplification rules other than the help page? http://www.maplesoft.com/support/help/maple/view.aspx?path=simplify%2fdetails
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