Answer
See graph, Cardioid, symmetric with respect to the line $\theta=\frac{\pi}{2}$.
Work Step by Step
1. See graph for $r=3-3sin\theta$, it is a Cardioid.
2. To test for symmetry with respect to the line $\theta=\frac{\pi}{2}$, replace $\theta$ with $\pi-\theta$, we have $r=3-3sin(\pi-\theta)=3-3sin\theta$, thus it is symmetric with respect to the line $\theta=\frac{\pi}{2}$.
