State the Smallest $\theta$ -Interval $(0 \leq \theta \leq k)$

Short Answer

State the smallest $\theta$ -interval $(0 \leq \theta \leq k)$ that gives a complete graph of the polar equation $r=2 \sin 3 \theta$ . Sketch the graph and label the graph to show which petals are generated by positive values of $r$ and which by negative values of $r$ .