Determine two pairs of polar coordinates for the point with 0° ≤θ

Question

Determine two pairs of polar coordinates for the point with 0° ≤θ < 360°.
-$( 3 , - 3 )$
A) $\left( 3 \sqrt { 2 } , 45 ^ { \circ } \right) , \left( - 3 \sqrt { 2 } , 225 ^ { \circ } \right)$
B) $\left( 3 \sqrt { 2 } , 135 ^ { \circ } \right) , \left( - 3 \sqrt { 2 } , 315 ^ { \circ } \right)$
C) $\left( 3 \sqrt { 2 } , 315 ^ { \circ } \right) , \left( - 3 \sqrt { 2 } , 135 ^ { \circ } \right)$
D) $\left( 3 \sqrt { 2 } , 225 ^ { \circ } \right) , \left( - 3 \sqrt { 2 } , 45 ^ { \circ } \right)$

Quizplus · Accepted Answer

The point (3, -3) in Cartesian coordinates corresponds to a polar coordinate with a radius of $3\sqrt{2}$ and an angle of $315^\circ$ or $135^\circ$ with a negative radius.

Determine Two Pairs of Polar Coordinates for the Point with 0°