Question

How do I graph a polar equation for r^2=4cos3theta and find the points for it ? my teacher said i got this question wrong and i want to understand, thank you.

Answer 1

We have the followiing:

$\begin{gathered} r^2=4\sin 3\theta \\ r=-\sqrt[]{4\sin3\theta}=-2\sqrt[]{\sin 3\theta} \\ r=\sqrt[]{4\sin 3\theta}=2\sqrt[]{\sin3\theta} \end{gathered}$