Question
THINK ABOUT IT How many petals do the rose curves given by $r=2\ \cos\ 4\theta$ and $r=2\ \sin\ 3\theta$ have? Determine the numbers of petals for the curves given by $r=2\ \cos\ n\theta$ and $r=2\ \sin\ n\theta$, where $n$ is a positive integer.
Step 1
The rose curve is given by $r=a \cos n\theta$ or $r=a \sin n\theta$, where $n$ is a positive integer. The number of petals in the rose curve is determined by the value of $n$. Show more…
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