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.