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

Question

Quizplus · Accepted Answer

The given polar equation $r = 2 + 2 \cos \theta$ does not exhibit symmetry with respect to the line $\theta = \frac{\pi}{2}$ because this line represents the vertical line in Cartesian coordinates, and the cosine function reflects over the $y$-axis ($\theta = 0$ or $\theta = \pi$), not over the line $\theta = \frac{\pi}{2}$.

Use Symmetry to Graph Polar Equations - r=2+2cos⁡θ;r = 2 + 2 \cos \theta ;r=2+2cosθ;

Use Symmetry to Graph Polar Equations
- $r = 2 + 2 \cos \theta ;$