The polar coordinates of the rectangular coordinates are (4,5π/3)Option D is correct.
What is polar coordinate?
A two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane is as the polar coordinate.
The polar coordinate standard form is;
[tex]\rm x = rcos \theta \\\\\ y= rsin \theta[/tex]
The value of the r is the resultant of the coordinate;
[tex]\rm r= \sqrt{2^2+(-2\sqrt{3})^2 } \\\\r= 4[/tex]
The angle is found as ;
[tex]\theta = tan^{-1}(\frac{y}{x}) \\\\ \theta = tan^{-1} \frac{-2\sqrt{3} }{2} \\\\ \theta = -60^0[/tex]
[tex]x= rcos \theta \\\\ x= 4 cos(-60) \\\\ x= rcos \theta \\\\ x= 4 cos [-\frac{\pi}{3} ]\\\\ \rm y = r sin \theta \\\\ y= 4 sin [-\frac{-\pi}{6}][/tex]
Hence the polar coordinates of the rectangular coordinates are (4,5π/3)Option D is correct.
To learn more about the polar coordinate, refer to the link;
https://brainly.com/question/11657509
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