Question

Find the rectangular coordinates of the point with the polar coordinates ordered pair 3 comma 5pi/3.

Answer 1

r = 3, theta = 5pi/3
x = rcos(theta) = 3*cos(5pi/3) = 3*cos(-pi/3) = 3/2
y = rsin(theta) = 3*sin(5pi/3) = 3*sin(-5pi/3) = -3sqrt(3)/2
so you get (3/2, -3sqrt(3)/2)

Answer 2

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