Parametric curves in maple

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I know how to plot a parametric curve in Maple (18), but is it also possible to 'define' the parametric equation? I.e. I have to find the intersection of: f:= t-> sin(t); g:= t -> 0.5*sin(2*t); and y := x -> x/2

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First, change g to g:= t-> sin(2*t)/2; don't use decimal points in Maple code when you can use the exact fraction. Then, to get the points of intersection, use

([f,g])~({solve(g(t)=y(f(t)))});