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:(adsbygoogle = window.adsbygoogle || []).push({});

My question is: do these 4 equations imply that [itex]\theta =[/itex] constant? (so that the relationship between the coordinate systems is linear)

- [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]

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# Question about Coordinate Change

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