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Math Help - polar coordinate equation

  1. #1
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    polar coordinate equation

    For the polar coordinate equation:

    r=>>>> >>>> 6
    >>>>>>> -----------
    >>>>>>> 2-sin θ

    A). What is the shape of this equation?
    Explain how I can graph it/ how to do the work

    B) Convert this equation into an expression with the same graph in rectangular coordinates (x,y).

    Thank You muchly Im lost

    I cant figure it out help me please!!
    Last edited by IneeedHelp; July 19th 2010 at 12:24 AM.
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  2. #2
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    Quote Originally Posted by IneeedHelp View Post
    For the polar coordinate equation:

    r=>>>> >>>> 6
    >>>>>>> -----------
    >>>>>>> 2-sin θ

    A). What is the shape of this equation?
    Explain how I can graph it/ how to do the work

    B) Convert this equation into an expression with the same graph in rectangular coordinates (x,y).

    Thank You muchly Im lost

    I cant figure it out help me please!!
    A). Refer to your class notes or textbook on how to draw graphs of curves defined using polar coordinates.

    B). r = \frac{6}{2 - \sin \theta} \Rightarrow 2r - r \sin \theta = 6 \Rightarrow 2 \sqrt{x^2 + y^2} - y = 6 \Rightarrow 2 \sqrt{x^2 + y^2} = 6 + y.

    Now square both sides and simplify to get would should be a familiar relation.
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