Find the polar coordinates of the point (0, -2) given in rectangular coordinates for $\theta \in [ 0,2 \pi ]$ and $r \geq 0$
A) $\left( 2 , \frac { \pi } { 2 } \right)$
B) $\left( - 2 , \frac { 3 \pi } { 2 } \right)$
C) $\left( 2 , \frac { \pi } { 3 } \right)$
D) $\left( 2 , \frac { 3 \pi } { 2 } \right)$

Question

Quizplus · Accepted Answer

The polar coordinates of a point (x, y) are given by $r = \sqrt{x^2 + y^2}$ and $\theta = \tan^{-1}\left(\frac{y}{x}\right)$, with adjustments based on the quadrant. For (0, -2), $r = 2$ and $\theta = \frac{3\pi}{2}$ because the point is directly below the origin on the negative y-axis.

Find the Polar Coordinates of the Point (0, -2) Given θ∈[0,2π]\theta \in [ 0,2 \pi ]θ∈[0,2π]

Find the Polar Coordinates of the Point (0, -2) Given $\theta \in [ 0,2 \pi ]$