Find two sets of polar coordinates for the point for 0 lesst

Find two sets of polar coordinates for the point for 0 lessthanorequalto theta

Solution

let us assume the point is (-3, -3) for example as the point is not mentioned

0 < 2

= arctan(y/x) = arctan(1) = /4, 5/4
r = (x² + y²) = ((-3)² + (-3)²) = (9 + 9) = 18 = 32

(32, 5/4) is the most obvious point. It lies in the same quadrant and is positive. The other one is radians away (parallel) and the magnitude will be negative. (-32, /4)