How do you convert (-3,3) to polar form?

1 Answer
Mar 5, 2016

(3sqrt2,3pi/4)

Explanation:

If Cartesian coordinate of point is (x,y)
and its polar coordinate is (r,theta)
then x=rcostheta and y=rsintheta
given x= -3 then -3=rcostheta
and y= 3 ,So 3=rsintheta
tantheta=-1
both tantheta ,costheta are negative and sin theta is poitive So the angletheta will be in 2nd quadrant
Hencetheta =pi-pi/4=3pi/4
r^2= 3^2+(-3)^2
r=3sqrt2
hence reqd polar coordinate is(3sqrt2,3pi/4)