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well, obviously only defined between -1<=z<=1
when x=0 , z= 1 ( ie in the zy plane it is a horizontal line )
I'm pretty sure it would be the same thing as f(x)=cosx but just in 3D cartesian coordinates. It would be graphed on the xz-plane.
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you mean the xy plane right?
No..i'm pretty sure it's supposed by be in the xz-plane because it's a function of x and y. Kind of like f(x)=2x....the output is in the y direction. I think the output of f(x,y) is in the z-direction. Therefore, it would be the xz-plane
It will exist on all 3 planes.
It would look like an undulating wave which would have a cross section for every y value that looked like a cosine function in x and z. But that would extend along the y axis infinitely.