A point in polar coordinates is given.Convert the point to rectangular coordinates.Round your answers to one decimal places.
A)Rectangular coordinates: (3.6,6.0)
B)Rectangular coordinates: (5.5,2.4)
C)Rectangular coordinates: (-5.5,-2.4)
D)Rectangular coordinates: (-2.4,-5.5)
E)Rectangular coordinates: (2.4,5.5)

Question

A point in polar coordinates is given.Convert the point to rectangular coordinates.Round your answers to one decimal places. ​  ​
A)Rectangular coordinates: (3.6,6.0) 
B)Rectangular coordinates: (5.5,2.4) 
C)Rectangular coordinates: (-5.5,-2.4) 
D)Rectangular coordinates: (-2.4,-5.5) 
E)Rectangular coordinates: (2.4,5.5)

Quizplus · Accepted Answer

The point in polar coordinates can be written as (r,θ) = (5.8, 23°). To convert to rectangular coordinates, we use the formulas x = r cosθ and y = r sinθ. Plugging in the values, we get x = 5.5 and y = 2.4. Therefore, the rectangular coordinates are (5.5, 2.4) rounded to one decimal place, which corresponds to choice B.

A Point in Polar Coordinates Is Given