Determine two pairs of polar coordinates for the point 3 3 w
Determine two pairs of polar coordinates for the point (3, -3) with 0° < 360°. A. (3 sqrt2, 315 degrees), (-3 sqrt2, 135 degrees)
B. (3 sqrt2, 225 degrees), (-3 sqrt2, 45 degrees)
C. (3 sqrt2, 45 degrees), (-3 sqrt2, 225 degrees)
D. (3 sqrt 2, 135 degrees), (-3 sqrt2, 13 degrees)
Solution
(3, -3)
r = sqrt(3^2 +3^2) = +/- 3sqrt(2)
theta = tan^-1(-3/3) = tan^-1(-1) = pi- pi/4 , 2pi- pi/4
= 3pi/4 , 7pi/4, -pi/4
= 135 deg , 315 deg , -45
So, out of given options : (3sqrt2, 315 deg) and (-3sqrt2 , 135 deg ) .Option A
