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

NetherCraft 0

Choices:

(4 square root 2, 135°), (-4 square root 2, 315°)

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

(4 square root 2, 315°), (-4 square root 2, 135°)

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

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°)

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