Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.
-$\left( 4,70 ^ { \circ } \right)$ 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, use the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$, where $r = 4$ and $\theta = 70^\circ$. Calculating these gives $x \approx 1.37$ and $y \approx 3.76$, which matches choice B.

Choose the One Alternative That Best Completes the Statement or Answers