The polar coordinates of a point are given. Find the rectangular coordinates of the point.
-(4, 70°) Round the rectangular coordinates to two decimal places.
A) (4.01, 1.59)
B) (1.37, 3.76)
C) (1.59, 4.01)
D) (3.76, 1.37)

Question

Quizplus · Accepted Answer

To convert from polar to rectangular coordinates, we use the formulas $x = r\cos(\theta)$ and $y = r\sin(\theta)$, where $r$ is the radius and $\theta$ is the angle in degrees. For $r = 4$ and $\theta = 70^\circ$, $x = 4\cos(70^\circ) \approx 1.37$ and $y = 4\sin(70^\circ) \approx 3.76$.

The Polar Coordinates of a Point Are Given