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Math Help - Converting a polar equation to Cartesian form.

  1. #1
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    Converting a polar equation to Cartesian form.

    I have been thinking about since morning, but didn't seen to find a way to even start to solve this:

    Get the cartesian equation for the curve r=2*cos a , and make the graph of this curve

    Can anyone help me? Thank you! (:
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  2. #2
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    Re: Circumference

    Quote Originally Posted by weber View Post
    I have been thinking about since morning, but didn't seen to find a way to even start to solve this:

    Get the cartesian equation for the curve r=2*cos a , and make the graph of this curve

    Can anyone help me? Thank you! (:
    assuming you mean ...

    r = 2\cos{\theta} (instead of "a")


    note that x = r\cos{\theta} is one of your basic conversion equations.

    rearranging ... \frac{x}{r} = \cos{\theta}

    substitute \frac{x}{r} for \cos{\theta} in your original equation ...

    r = 2 \cdot \frac{x}{r}

    r^2 = 2x

    also note that r^2 = x^2+y^2 ...

    x^2 + y^2 = 2x

    ... and this would be the equation of what conic section?



    Moderator edit: Excellent reply restored. Post #3 deleted.
    Last edited by mr fantastic; July 9th 2011 at 09:09 PM. Reason: Restored. Post #3 deleted.
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