Go here:
http://www.wolframalpha.com/
Plug in this:
PolarPlot[(1 + 0.9 Cos[8 t]) (1 + 0.1 Cos[24 t]) (0.9 + 0.1 Cos[200 t]) (1 + Sin[t]), {t, -Pi, Pi}]
you can do it on a graphing calculator also.
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