
This file can be found here.
Below is a bit of mathematics that I would have discussed in a class. with the goal of graphing in parametric mode on a graphic calculator. For students not yet up to that, I would adapt this so that they can experiment with different rotational speeds, reverse directions, etc., and would not include the pre-plotted graph.
A=(−.75,0)Jack=(−.75+cos(−2t),0+sin(−2t))C=(.75,0)Jill=(.75+cos(3t),0+sin(3t))redpoint=Jack+Jill2redpoint=(cos(−2t)+cos(3t),sin(−2t)+sin(3t))2
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