Use Symmetry to Graph Polar Equations
-$\mathrm { r } = 3 - 3 \cos \theta$; polar axis
A) has symmetry with respect to the polar axis
B) may or may not have symmetry with respect to the polar axis

Question

Quizplus · Accepted Answer

The given polar equation $ r = 3 - 3 \cos \theta $ is symmetric with respect to the polar axis because the cosine function is even, meaning $\cos(-\theta) = \cos(\theta)$, which ensures that for every point $ (r, \theta) $ on the graph, there is a corresponding point $ (r, -\theta) $ that also lies on the graph.

Use Symmetry to Graph Polar Equations - r=3−3cos⁡θ\mathrm { r } = 3 - 3 \cos \thetar=3−3cosθ

Use Symmetry to Graph Polar Equations
- $\mathrm { r } = 3 - 3 \cos \theta$