- #1
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Suppose that I have a two-dimensional coordinate system [itex](x,y)[/itex] and I change to a new coordinate system [itex](u,v)[/itex]. What I know is that there is some function [itex]\theta(u,v)[/itex] such that:
- [itex]\dfrac{\partial x}{\partial u} = cos(\theta)[/itex]
- [itex]\dfrac{\partial x}{\partial v} = -sin(\theta)[/itex]
- [itex]\dfrac{\partial y}{\partial u} = sin(\theta)[/itex]
- [itex]\dfrac{\partial y}{\partial v} = cos(\theta)[/itex]