The rectangular coordinates of a point are given. Find polar coordinates for the point.
-$( \sqrt { 3 } , - 1 )$
A) $\left( 2 , - \frac { \pi } { 6 } \right)$
B) $\left( 2 , \frac { 5 \pi } { 6 } \right)$
C) $\left( 2 , \frac { \pi } { 6 } \right)$
D) $\left( 2 , - \frac { 5 \pi } { 6 } \right)$

Question

Quizplus · Accepted Answer

The point is in the fourth quadrant, so the angle is in the interval $( \frac { 3 \pi } { 2 } , 2 \pi )$. The distance from the origin is $2$. So, the polar coordinates are $( 2 , - \frac { \pi } { 6 } )$.

The Rectangular Coordinates of a Point Are Given (3,−1)( \sqrt { 3 } , - 1 )(3​,−1)

The Rectangular Coordinates of a Point Are Given $( \sqrt { 3 } , - 1 )$