The rectangular coordinates of a point are given. Find polar coordinates for the point.
-$( 0.6 , - 1.1 )$ Round the polar coordinates to two decimal places, with $\theta$ in degrees.
A) $\left( 1.25 , - 61.39 ^ { \circ } \right)$
B) $\left( 1.25,57.93 ^ { \circ } \right)$
C) $\left( 1.25 , - 57.93 ^ { \circ } \right)$
D) $\left( 1.25,61.39 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The polar coordinates $r$ and $\theta$ can be found using $r = \sqrt{x^2 + y^2}$ and $\theta = \tan^{-1}\left(\frac{y}{x}\right)$. For the point $(0.6, -1.1)$, $r = \sqrt{0.6^2 + (-1.1)^2} = 1.25$ and $\theta = \tan^{-1}\left(\frac{-1.1}{0.6}\right) \approx -61.39^\circ$.

The Rectangular Coordinates of a Point Are Given (0.6,−1.1)( 0.6 , - 1.1 )(0.6,−1.1)

The Rectangular Coordinates of a Point Are Given $( 0.6 , - 1.1 )$