Find All Points of Intersection of the Graphs of the Equations

question 77

Multiple Choice

Find all points of intersection of the graphs of the equations. $\begin{array} { l } r = 1 + \sin \theta \\r = 3 \sin \theta\end{array}$

• A) \(\left( \frac { 3 } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 } { 2 } , - \frac { \pi } { 6 } \right) , ( 0,0 )\)
• B) \(\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 \sqrt { 3 } } { 2 } , - \frac { \pi } { 6 } \right) , ( 0,0 )\)
• C) \(\left( \frac { 3 } { 2 } , \frac { \pi } { 3 } \right) , \left( \frac { 3 } { 2 } , \frac { \pi } { 3 } \right) , ( 0,0 )\)
• D) \(\left( \frac { 3 } { 2 } , \frac { \pi } { 6 } \right) , \left( \frac { 3 } { 2 } , \frac { 5 \pi } { 6 } \right) , ( 0,0 )\)
• E) \(\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 3 } \right) , \left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { \pi } { 3 } \right) , ( 0,0 )\)

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