Select the Graph of the Polar Equation Using Symmetry,zeros,maximum R-Values,and $$r = \cos 3 \theta$$

question 28

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 \(\theta = \frac { \pi } { 6 } , \frac { \pi } { 2 } , \frac { 5 \pi } { 6 }\) ​

---

Definitions:

Personal Residence

A term referring to the primary living quarters owned and used by an individual or family for their personal use.

Taxpayers

Individuals or entities that are obligated to pay taxes to a governmental authority.

Involuntary Conversion

An event where property is destroyed, stolen, condemned, or disposed of under the threat of condemnation, and the owner receives other property or compensation in replacement.

Recognized Gain

The portion of gain considered for tax purposes when an asset is sold or disposed of, which may differ from the actual profit realized.