Find the Polar Coordinates of the Point(s) of Intersection of the Given

question 85

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π.
- $$r = 10 + 3 \sin \theta , r = 10 + 3 \cos \theta$$

• A) \(\left( 10 + \frac { 3 \sqrt { 2 } } { 2 } , \frac { 3 \pi } { 4 } \right) , \left( 10 - \frac { 3 \sqrt { 2 } } { 2 } , \frac { 7 \pi } { 4 } \right)\)
• B) \(\left( 10 - \frac { 3 \sqrt { 2 } } { 2 } , \frac { \pi } { 4 } \right) , \left( 10 + \frac { 3 \sqrt { 2 } } { 2 } , \frac { 7 \pi } { 4 } \right)\)
• C) \(\left( 10 + \frac { 3 \sqrt { 2 } } { 2 } , \frac { \pi } { 4 } \right) , \left( 10 - \frac { 3 \sqrt { 2 } } { 2 } , \frac { 5 \pi } { 4 } \right)\)
• D) \(\left\{ 10 - \frac { 3 \sqrt { 2 } } { 2 } , \frac { \pi } { 4 } , \left( 10 + \frac { 3 \sqrt { 2 } } { 2 } , \frac { 5 \pi } { 4 } \right) \right.\)

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