## Precalculus (6th Edition) Blitzer

The polar equation of the given polar curve $r=3\sin 2\theta$.
From the given polar curve we can observe that it is a rose curve. In case of a rose curve of $2n$ number of petals, the general form of the polar equation will be: Either $r=a\sin n\theta$ or $r=a\cos n\theta$, $a>0$. Hence, for $4\text{ petals}$, $n$ will be $2$. And from the graph, For, $\theta =\frac{\pi }{4}$ $r=3$ And, For, $\theta =0$ $r=0$ By applying the above condition, we can conclude that the polar equation for the graph will be: $r=3\sin 2\theta$