The rectangular coordinates of a point are given. Express the point in polar coordinates with $r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$
- $\left[ 0 , \frac { 1 } { 5 } \right)$

Question

The rectangular coordinates of a point are given. Express the point in polar coordinates with $$r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$$
-$\left[ 0 , \frac { 1 } { 5 } \right)$
A) $\left( \frac { 1 } { 5 } , 0 ^ { \circ } \right)$

B) $\left( \frac { 1 } { 5 } , 360 ^ { \circ } \right)$

C) $\left( \frac { 1 } { 5 } , 90 ^ { \circ } \right)$

D) $\left( - \frac { 1 } { 5 } , 0 ^ { \circ } \right)$

Quizplus · Accepted Answer

The point is on the positive y-axis, so $r = \frac { 1 } { 5 }$. Since the point is in the first quadrant, $\theta = 0 ^ { \circ }$.

The Rectangular Coordinates of a Point Are Given r≥0 and 0∘≤θ<360∘. r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }r≥0 and 0∘≤θ<360∘.

The Rectangular Coordinates of a Point Are Given $r \geq 0 \text { and } 0 ^ { \circ } \leq \theta < 360 ^ { \circ } \text {. }$