Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places. $( 5.8,2.62 )$
A)Rectangular coordinates: (-5.03,2.89)
B)Rectangular coordinates: (5.80,2.89)
C)Rectangular coordinates: (2.89,-5.03)
D)Rectangular coordinates: (-4.03,3.89)
E)Rectangular coordinates: (3.89,-4.03)

Question

Find the rectangular coordinates of the point given in polar coordinates.Round your results to two decimal places.  $( 5.8,2.62 )$ 
A)Rectangular coordinates: (-5.03,2.89)
B)Rectangular coordinates: (5.80,2.89)
C)Rectangular coordinates: (2.89,-5.03)
D)Rectangular coordinates: (-4.03,3.89)
E)Rectangular coordinates: (3.89,-4.03)

Quizplus · Accepted Answer

To convert from polar to rectangular coordinates, use the formulas $x = r\cos(\theta)$ and $y = r\sin(\theta)$. Here, $r = 5.8$ and $\theta = 2.62$ radians. Calculating gives $x = 5.8\cos(2.62) \approx -5.03$ and $y = 5.8\sin(2.62) \approx 2.89$.

Find the Rectangular Coordinates of the Point Given in Polar (5.8,2.62)( 5.8,2.62 )(5.8,2.62)

Find the Rectangular Coordinates of the Point Given in Polar $( 5.8,2.62 )$