CPM Homework Help : CALC Problem 11-7

Without your calculator, find all values of θ for which these polar curves cross the pole (origin). Then, graph the polar curve on your calculator and verify your answers.

Hint:

A polar curve intersects the origin when $r = 0$ .

$r =\operatorname{sin} 3θ + \operatorname{cos} 3θ$

$r = 3\operatorname{sin}^2 θ − 2$

Compute without a calculator