Polar Coordinates: Graphs · Exercise 57

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.

$r=2sin\left(\frac{\theta }{2}\right),r=\theta sin\left(\frac{\theta }{2}\right)$

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Algebra and Trigonometry 2e · §10.4 Polar Coordinates: Graphs · Exercise 57