Test the equation for symmetry with respect to the given axis, line, or pole.
-$r = 3 \sin ( 3 \theta ) ;$ the line $\theta = \frac { \pi } { 2 }$
A) Symmetric with respect to the line $\theta = \frac { \pi } { 2 }$
B) May or may not be symmetric with respect to the line $\theta = \frac { \pi } { 2 }$

Question

Quizplus · Accepted Answer

The equation is symmetric with respect to the line $\theta = \frac { \pi } { 2 }$ because replacing $\theta$ with $ \pi - \theta $ gives the same equation.

Test the Equation for Symmetry with Respect to the Given r=3sin⁡(3θ);r = 3 \sin ( 3 \theta ) ;r=3sin(3θ);

Test the Equation for Symmetry with Respect to the Given $r = 3 \sin ( 3 \theta ) ;$