find another pair of polar coordinates for the same point such that

Question

Plot point P=(4,240°) and find another pair of polar coordinates for the same point such that:

i.) r<0, and 0°≤θ<360°
ii.)r>0,and -360°<θ<0°

Answer 1

i) with r<0

(4, 240 degrees) = (4, 4pi/3)

= (-4, 240-180) = (-4, 60 degrees) = (-4, pi/3)

ii) with r>0

(4, 240) = (4,240-360) = (4,-120) = (4,-2pi/3)