10.4 Exercise 75

Use a graphing utility to graph each pair of polar equations on a domain of $\left[0 , 4 \pi\right]$ and then explain the differences shown in the graphs.

On a graphing utility, graph $r = \sin \left(\frac{16}{5} \theta\right)$ on $\left[\right. 0$, $4 \pi \left]\right.$, $\left[\right. 0$, $8 \pi \left]\right.$, $\left[\right. 0$, $12 \pi \left]\right.$, and $\left[\right. 0$, $16 \pi \left]\right. .$ Describe the effect of increasing the width of the domain.