Polar Graphing

 Rose Curve


Click here to download Geogebra.
Now open the rosecurve.ggb file.  Try the following steps.
1. Use the mouse set a = 1, i = 2 and change the value of t from 0 to 360.  Which direction do A and B move as t changes?
2. Set a = 2 . Then change the value of i.   As the value of i change from 1 to 10, notice that the number of the petal is as same as the value of i if i is odd and double of i if i is even.  Can we create a rose curve with 6 or 10 petals?  Write down the function r(x) on the left hand side bar for each value of i.

Download the hand-out file for further steps.

View some samples of polar curves here

Click here an animation of Polar and Cartesian equations.

Click here if you like to write your own GGB file.




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tphanya,
Feb 5, 2013, 12:28 PM
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butterflies.ggb
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tphanya,
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rosecurve.ggb
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tphanya,
Nov 7, 2012, 11:03 AM
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rosecurve_angle.ggb
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tphanya,
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