Question: Operations on several defined functions.

May be a question is simple, but I'm beginner in Maple and I didn't find answer in Internet. I defined two functions: f(x,y)=sin(x)*cos(y) and g(x,y)=sin(y)*cos(x). How can I calculate third function v(x,y)=f(x,y)-g(x,y)? Answer of this operation should be: v(x,y)=sin(x-y).

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