Select the Graph of the Polar Equation Using Symmetry, Zeros $r = 5 \cos 2 \theta$

question 47

Multiple Choice

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.
$r = 5 \cos 2 \theta$

• A)Symmetric with respect to the polar axis \(\begin{array} { c } | r | = 5 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 } \\ r = 0 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \end{array}\)
• B)Symmetric with respect to the polar axis \(\begin{array} { c } | r | = 5 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 } \\ r = 0 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \end{array}\)
• C)Symmetric with respect to the polar axis \(\begin{array} { c } | r | = 5 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 } \\ r = 0 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \end{array}\)
• D)Symmetric with respect to the polar axis \(\begin{array} { c } | r | = 5 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 } \\ r = 0 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \end{array}\)
• E)Symmetric with respect to the polar axis \(\begin{array} { c } | r | = 5 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 } \\ r = 0 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \end{array}\)

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Definitions:

Local Variables

Local variables are variables defined within a method or block, accessible only within that method or block.

Method First

This term is unclear without context; however, it might refer to the prioritization or initial use of a method in programming or software development.

Accompanying Figure

Refers to a diagram or illustration provided alongside textual material to aid understanding or add information.

Method Overloading

The process of defining multiple methods with the same name but with different sets or types of parameters in a class to perform varied actions.