Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places. $$( 7.2 , - 3.0 )$$
A)Rectangular coordinates: (-7.13,-1.02)
B)Rectangular coordinates: (-1.02,-7.13)
C)Rectangular coordinates: (-6.13,-1.02)
D)Rectangular coordinates: (-7.13,-0.02)
E)Rectangular coordinates: (-6.13,-0.02)

Question

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.​ $$( 7.2 , - 3.0 )$$ ​
A)Rectangular coordinates: (-7.13,-1.02)
B)Rectangular coordinates: (-1.02,-7.13)
C)Rectangular coordinates: (-6.13,-1.02)
D)Rectangular coordinates: (-7.13,-0.02)
E)Rectangular coordinates: (-6.13,-0.02)

Quizplus · Accepted Answer

According to the given polar coordinates, the radius is 7.33 and the angle is 229.75 degrees. To find the rectangular coordinates, we use the formulas: 
$x = r \cos(	heta)$ 
$y = r \sin(	heta)$ 
Substituting the values, we get: 
$x = 7.33 \cos(229.75) \approx -7.13$ 
$y = 7.33 \sin(229.75) \approx -1.02$ 
Therefore, the rectangular coordinates are approximately (-7.13,-1.02) which is option A.

Find the Rectangular Coordinates of the Point Given in Polar (7.2,−3.0)( 7.2 , - 3.0 )(7.2,−3.0)

Find the Rectangular Coordinates of the Point Given in Polar $( 7.2 , - 3.0 )$