Test the equation for symmetry with respect to the given axis, line, or pole.
-$$r = 3 - 6 \sin \theta \text {; the polar axis }$$
A) May or may not be symmetric with respect to the polar axis
B) Symmetric with respect to the polar axis

Question

Quizplus · Accepted Answer

The equation $ r = 3 - 6 \sin \theta $ is not symmetric with respect to the polar axis because replacing $\theta$ with $-\theta$ does not yield the same equation.

Test the Equation for Symmetry with Respect to the Given r=3−6sin⁡θ; the polar axis r = 3 - 6 \sin \theta \text {; the polar axis }r=3−6sinθ; the polar axis

Test the Equation for Symmetry with Respect to the Given $r = 3 - 6 \sin \theta \text {; the polar axis }$