### Home > PC3 > Chapter 13 > Lesson 13.3.5 > Problem13-158

13-158.

Determine the points of intersection for the polar curves $r=2\sin\left(2θ\right)$ and $r=2\cos\left(θ\right)$.

Set the equations equal to each other (because $r = r$).

Divide both sides by $2$.

Apply the Double Angle Identity for sine.

Set the equation equal to $0$ and factor.

Use the Zero Product Property to solve for $θ.$

Use your values for $θ$ to solve for $r$.