Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

r = 4 \sin ( 2 \theta )

A)Symmetric with respect to

\theta = \frac { \pi } { 2 }

, the polar axis, and the pole

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi\end{array}

$Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. r = 4 \sin ( 2 \theta ) A)Symmetric with respect to \theta = \frac { \pi } { 2 } , the polar axis, and the pole \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array} B)Symmetric with respect to \theta = \frac { \pi } { 2 } , the polar axis, and the pole \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array} C)Symmetric with respect to \theta = \frac { \pi } { 2 } , the polar axis, and the pole \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array} D)Symmetric with respect to \theta = \frac { \pi } { 2 } , the polar axis, and the pole \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array} E)Symmetric with respect to \theta = \frac { \pi } { 2 } , the polar axis, and the pole \begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}$
B)Symmetric with respect to

\theta = \frac { \pi } { 2 }

, the polar axis, and the pole

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi\end{array}

\theta = \frac { \pi } { 2 }

, the polar axis, and the pole

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi\end{array}

\theta = \frac { \pi } { 2 }

, the polar axis, and the pole

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi\end{array}

\theta = \frac { \pi } { 2 }

, the polar axis, and the pole

\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi\end{array}

Determine the Angle θ\thetaθ Through Which the Axes Are Rotated 24x2+66xy+13y2=3224 x ^ { 2 } + 66 x y + 13 y ^ { 2 } = 3224x2+66xy+13y2=32

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Determine the Angle $\theta$ Through Which the Axes Are Rotated $24 x ^ { 2 } + 66 x y + 13 y ^ { 2 } = 32$

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