Select the Graph of the Polar Equation Using Symmetry, Zeros $r = \cos 3 \theta$

question 196

Multiple Choice

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.
$r = \cos 3 \theta$

• A)Symmetric with respect to the polar axis \(| r | = 1\) when \(\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi\) \(r = 0\) when \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\)
• B)Symmetric with respect to the polar axis \(| r | = 1\) when \(\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi\) \(r = 0\) when \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\)
• C)Symmetric with respect to the polar axis \(| r | = 1\) when \(\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi\) \(r = 0\) when \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\)
• D)Symmetric with respect to the polar axis \(| r | = 1\) when \(\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi\) \(r = 0\) when \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\)
• E)Symmetric with respect to the polar axis \(| r | = 1\) when \(\theta = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 } , \pi\) \(r = 0\) when \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\)

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