Prove that a rose with an even number of petals is traced outexactly once as varies over

Chapter 10, Problem 78

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Prove that a rose with an even number of petals is traced out exactly once as \(\theta\) varies over the interval \(0 \leq \theta<2 \pi\) and a rose with an odd number of petals is traced out exactly once as \(\theta\) varies over the interval \(0 \leq \theta<\pi\).

Equation Transcription:

Text Transcription:

theta

0 leq theta <2pi

theta

0 leq theta < pi

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