Use Symmetry to Graph Polar Equations
-$r ^ { 2 } = \sin 2 \theta$; the pole
A) has symmetry with respect to the pole
B) may or may not have symmetry with respect to the pole

Question

Quizplus · Accepted Answer

The equation $r^2 = \sin 2\theta$ has symmetry with respect to the pole because replacing $\theta$ with $\theta + \pi$ results in the same value for $r^2$, indicating that the graph is symmetric about the pole.

Use Symmetry to Graph Polar Equations - r2=sin⁡2θr ^ { 2 } = \sin 2 \thetar2=sin2θ

Use Symmetry to Graph Polar Equations
- $r ^ { 2 } = \sin 2 \theta$