Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $\left( 7 , \frac { 11 \pi } { 9 } \right)$
A) Rectangular coordinates: $( - 5.36 , - 4.50 )$
B) Rectangular coordinates: $( - 5.36,0.11 )$
C) Rectangular coordinates: $( - 4.50 , - 5.36 )$
D) Rectangular coordinates: $( - 5.36,4.50 )$
E) Rectangular coordinates: $( 4.50 , - 5.36 )$

Question

Quizplus · Accepted Answer

To convert from polar to rectangular coordinates, use the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$. For $r = 7$ and $\theta = \frac{11\pi}{9}$, calculating $x$ and $y$ gives approximately $x = -5.36$ and $y = -4.50$, matching choice A.

Use a Graphing Utility to Find the Rectangular Coordinates of the Point