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Convert the rectangular coordinate (2,-2) to polar form and find two additional representations of this point.

Can you check my work and explain how to finish the question?

r=√(2)2+(-2)2
r=2√2

tan theta = (-2)/2
theta = -1

polar coordinate= (2√2, -1)

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1 answer
  1. no,
    tanØ = -1 , not Ø = -1

    since (2,-2) is in quadrant IV, Ø = 315° or 7π/4

    so one answer is (2√2 , 7π/4)
    another would be (-2√2, 3π/4)

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