The graph of polar coordinates will look something like this:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZMR9DomBrzjX46HCmKJvJ-1G4KoVhhRgvbeOADPDMPl4Zm1Zi2mgU5PAdU4FTWq5nh1fNNpQbcCF6L4xWKKHIig-IjZlV3fVIUc9r8wRIwZoWi6QuGMkHxSCVv09JlfEDHXqYlZ0rcIP1/s1600/polar_coordinates.png)
The r counts out from the center and the Ɵ on the corresponding labeled lines. Polar coordinates can also be negative. If a r or Ɵ is negative, then then move opposite. For instance, if the point is (1, pi/12), then the point would be on the first circle from the center and in quadrant 2 (top right), but if the point is (-1, -pi/12) then the point would be on the first circle in the center in quadrant 4 (bottom left) and on the line labeled 13pi/12.
Sometimes you will have to convert between polar equations and rectangular equations. To do this, use these equations.
When converting from polar to rectangular, use these equations:
x=rcosƟ
y=rsinƟ
When converting from rectangular to polar, use these equations.
tanƟ=y/x
r^2=x^2=y^2
If you need more help, check out Miss V's lecture:
https://docs.google.com/file/d/0B0qanadSJ9JgWlpnSEdVRGZya3c/edit
Math joke of the day:
A quote from Charles Darwin: "A mathematician is a blind man in a dark room looking for a black cat which isn't there."
No comments:
Post a Comment