Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $\left( 6 , \frac { 5 \pi } { 3 } \right)$
A) Rectangular coordinates: $( 3.00,5.20 )$
B) Rectangular coordinates: $( 5.20,3.00 )$
C) Rectangular coordinates: $( 3.00 , - 5.20 )$
D) Rectangular coordinates: $( 3.00,0.05 )$
E) Rectangular coordinates: $( - 5.20,3.00 )$

Question

Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates. Round your results to two decimal places. $\left( 6 , \frac { 5 \pi } { 3 } \right)$ 
A) Rectangular coordinates: $( 3.00,5.20 )$
B) Rectangular coordinates: $( 5.20,3.00 )$
C) Rectangular coordinates: $( 3.00 , - 5.20 )$
D) Rectangular coordinates: $( 3.00,0.05 )$
E) Rectangular coordinates: $( - 5.20,3.00 )$

Quizplus · Accepted Answer

The rectangular coordinates can be found using the formulas $x = r \cos \theta$ and $y = r \sin \theta$. For $\left( 6 , \frac { 5 \pi } { 3 } \right)$, $x = 6 \cos \left(\frac{5\pi}{3}\right) = 3.00$ and $y = 6 \sin \left(\frac{5\pi}{3}\right) = -5.20$.

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