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Polar / Rectangular Coordinates

  1. Jan 6, 2009 #1
    1. The problem statement, all variables and given/known data

    Convert into rectangular coordinates:

    [tex]
    r = tan(theta)
    [/tex]



    2. Relevant equations



    3. The attempt at a solution

    [tex]
    r = \frac {sin}{cos}
    [/tex]


    I used
    [tex]
    r = \sqrt{x^2+y^2}
    [/tex]
    and

    [tex]
    cos = \frac {x}{r}

    x = (r)(cos)
    sin = \frac {y}{r}

    y = (r)(sin)
    [/tex]

    [tex]
    \sqrt {x^2+y^2} = \frac{\frac{y}{\sqrt {x^2+y^2}}}{\frac{x}{\sqrt {x^2+y^2}}}
    [/tex]

    Then -

    [tex]
    x\sqrt {x^2+y^2} -y =0
    [/tex]

    The book gets
    [tex]
    x^4 + (x^2)(y^2) - y^2

    [/tex]


    Can you help with the simplification to get to the book’s answer?

    Thanks
    -Sparky
     
  2. jcsd
  3. Jan 6, 2009 #2
    Take y to the other side, square and open brackets.
     
  4. Jan 6, 2009 #3
    Thanks so much!!
     
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