The Cartesian coordinates of a point are 1 1 i Find polar co

The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, theta) of the point, where r > 0 and 0 lessthanorequalto theta

Solution

(1,1)

r=sqrt(1+1)=sqrt2

theta=tan^-1(1/1) =pi/4

(sqrt2,pi/4)

r=sqrt2 ,theta=pi/4

r=-sqrt2,theta=5pi/4

(-sqrt2,5pi/4)