Test the Graph of the Following Equation for Symmetry with Respect

question 117

Multiple Choice

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

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

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