### Home > APCALC > Chapter 11 > Lesson 11.1.1 > Problem11-7

11-7.

Without a calculator, determine all values of θ for which each of the polar curves cross the pole (origin). Then, graph the polar curve on your calculator and verify your answers. Homework Help ✎

1. $r=\ \sin(3θ)+\ \cos(3θ)$

A polar curve intersects the origin when r = 0.

$-\sin(3\theta)=\cos(3\theta)$

$\tan(3\theta)=-1$

1. $r=3\sin2(θ)-2$