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

Question

Quizplus · Accepted Answer

The equation $r = 2\cos\theta$ is symmetric with respect to the polar axis because $\cos\theta$ is an even function, 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=2cos⁡θ\mathrm { r } = 2 \cos \thetar=2cosθ

Use Symmetry to Graph Polar Equations
- $\mathrm { r } = 2 \cos \theta$