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Math Help - Help with Polar Coordinates

  1. #1
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    Help with Polar Coordinates

    Determine two pairs of polar coordinates for the point (2, -2) with 0 ≤ θ < 360.
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  2. #2
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    Re: Help with Polar Coordinates

    Quote Originally Posted by ambitionty9 View Post
    Determine two pairs of polar coordinates for the point (2, -2) with 0 ≤ θ < 360.
    I would really like to help you, but I cannot deal with the fact you are saddled with a totally outdated system.

    Almost all modern mathematics does not recognized "two pairs of polar coordinates" as meaningful.
    Moreover, we also insist that =\pi<\theta\le\pi, nobody uses degrees in mathematics.

    Now if you can accept those conventions then (2,-2) has polar form;
    r=2\sqrt{2} and \theta  = \arctan \left( {\frac{{ - 2}}{2}} \right) = \frac{{ - \pi }}{4}.

    You might tell your instructor to get with the modern usage.
    Last edited by Plato; April 16th 2013 at 05:45 PM.
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  3. #3
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    Re: Help with Polar Coordinates

    Hello, ambitionty9!

    I agree with Plato completely.
    However, if we must use this outdated notation . . .


    Determine two pairs of polar coordinates for the point (2, -2) with 0 ≤ θ < 360.

    We find that: . r \:=\:\sqrt{2^2 + (\text{-}2)^2} \:=\:\sqrt{4+4}\:=\:\sqrt{8} \:=\:2\sqrt{2}

    One pair of coordinates is: . \left(2\sqrt{2},\:315^o\right)

    . . . . . . . . . . .Another is: . \left(\text{-}2\sqrt{2},\:135^o\right)
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