Question

how do you graph f(x, y) = cosx

Answer 1

well, obviously only defined between -1<=z<=1

Answer 2

when x=0 , z= 1 ( ie in the zy plane it is a horizontal line )

Answer 3

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.

Answer 4

you mean the xy plane right?

Answer 5

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

Answer 6

It will exist on all 3 planes.

Answer 7

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.

Answer 8

Yes...that's correct

Answer 9

http://www.livephysics.com/ptools/online-3d-function-grapher.php?ymin=-100&xmin=-5&zmin=-10&ymax=100&xmax=5&zmax=10&f=cos%28x%29

Answer 10

oh very nice i was looking to do this same problem