Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ October 21, 2021 by thanh

1 Answer

• r = sqrt(x^2+y^2)

  r = +/- sqrt(4^2+4^2) = sqrt(32) = +/-4sqrt(2)

  theta = tan^-1(1/1) = tan^-1(1) = 45 degrees

  tan is positive in quadrant I and III

  In quadrant III, the angle is 180+45 = 225

  (4 square root 2, 225°), (-4 square root 2, 45°)