Convert a Point from Polar to Rectangular Coordinates
-$\left( 2 , - 90 ^ { \circ } \right)$
A) $( 0 , - 2 )$
B) $( - 2,0 )$
C) $( 0,2 )$
D) $( 2,0 )$

Question

Quizplus · Accepted Answer

The polar coordinates $(r, \theta) = (2, -90^\circ)$ can be converted to rectangular coordinates using the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$. For $\theta = -90^\circ$, $\cos(-90^\circ) = 0$ and $\sin(-90^\circ) = -1$, so $x = 2 \cdot 0 = 0$ and $y = 2 \cdot -1 = -2$, resulting in the rectangular coordinates $(0, -2)$.

Convert a Point from Polar to Rectangular Coordinates - (2,−90∘)\left( 2 , - 90 ^ { \circ } \right)(2,−90∘)

Convert a Point from Polar to Rectangular Coordinates
- $\left( 2 , - 90 ^ { \circ } \right)$