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Math Help - Can someone help me with these two?

  1. #1
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    Can someone help me with these two?

    Change the following polar equation to rectangular form.
    r=cotΘ
    Find a polar equation of the conic with focus at the pole and the given eccentricity and directrix.
    e=3/2,ysinΘ=1
    Thanks again for the help!
    Dave
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Dave53 View Post
    Change the following polar equation to rectangular form.
    r=cotΘ
    r = cot(\theta)

    r = \frac{cos(\theta)}{sin(\theta)}

    r~sin(\theta) = cos(\theta)

    Now,
    y = r~sin(\theta)
    and
    x = r~cos(\theta) \implies cos(\theta) = \frac{x}{r} = \frac{x}{\sqrt{x^2 + y^2}}

    So
    y = \frac{x}{\sqrt{x^2 + y^2}}

    -Dan
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