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

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),

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