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Test the Graph of the Following Equation for Symmetry with Respect

Question 19

Multiple Choice

Test the graph of the following equation for symmetry with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole.
r=6+cos(5θ) r = - 6 + \cos ( 5 \theta )


A) The graph is symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } only.
B) The graph is symmetric with respect to the polar axis only.
C) The graph is symmetric with respect to the pole only.
D) The graph is symmetric with respect to all three.
E) The graph has no symmetries.

Correct Answer:

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