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Express in Polar Coordinate 
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#1
Nov1404, 10:34 PM

P: 7

How do I express this in polar coordinates?
(xh)^2+(yk)^2= h^2+k^2 It is a circle with k and h greater than 0. 


#2
Nov1404, 11:04 PM

P: 51

go to:
http://mathworld.wolfram.com/PolarCoordinates.html I think the transforms would be x> rcos theta y> r sin theta h > R cos theta' k > R sin theta' 4 prameters to describe the points on a shifted circle (shifted orgin because of the k and h terms) in either cartesian or polar coordinates Not sure, but I think. 


#3
Nov1504, 01:15 AM

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P: 562

In two dimensions, the transformations are:
[tex]x = r\cos \theta, \qquad y = r\sin \theta[/tex] That's all you need. 


#4
Nov1504, 02:37 AM

P: 51

Express in Polar Coordinate
Yeah this makes sense. Sorry for my mistake. You'll only need two variables to plot a 1d object in a 2d space.
You would need four parameters to specify a shifted circle in either coordinate system. (The k and h parameters will propagate through your transformation.) You could transform this shift into polar coordinates as well (and you would have to if this was a complicated mechanics problem) but you don't even need to bother with this because it is given as a constant. Hope I didn't mess you up. Sorry again. 


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