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Math Help - polar coordinates

  1. #1
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    polar coordinates

    Determine the main set of polar coordinates of points which are rectangular coordinates:

    (0,-2)

    p=\sqrt{0^2+(-2)^2}
    p=+or-2

    How do I find the angle?



    The answer is:
    (2,270)
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  2. #2
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    Hi Apprentice123,

    Given the coordinates (a,b) the angle (\theta) is given by \arctan\left(\frac{b}{a}\right) Thus in this case \theta=\arctan\left(\frac{-2}{0}\right) Note two things. The first is that \frac{-2}{0} is undefined so we want \theta such that \tan(\theta) is undefined. The second is that the coordinates (0,-2) are in the fourth quadrant and thus so is your angle.

    The answer follows.
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  3. #3
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    Code:
            |
            |
    ----------------
            |
            |
            * (0, -2)
    We see that the angle is \frac{3\pi}{2} away from the polar axis.
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  4. #4
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    Thanks to all
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