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The rectangular coordinates of a point are given. Find two sets of polar coordinates for the point for 0 is less than or equal to Q is less than 2pi.


My answers were (-3sqrt2, pi/4) and (pi/4, -3sqrt2).

My teacher said that my answers have to be in quadrant 3. Is my second answer wrong?

  • Math -

    Yes, your second answer is wrong.
    polar coordinates are of the form (radius, angle) your point is backwards.

    you know, as your teacher told you, that the point (-3,-3) is in quadrant III (just sketch it)

    so (-3√2, π/4) is correct,
    wouldn't (3√2, 5π/4) put you in the same position?

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