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March 24, 2017

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How do I convert the polar equation r - 3cos(theta) = 5sin to cartesian equation form?

  • math - ,

    see the bottom part of my reply to

    http://www.jiskha.com/display.cgi?id=1269266887

  • math - ,

    For your equation

    r - 3cosØ = 5sinØ
    √(x^2 + y^2) - 3x/r = 5y/r
    √(x^2 + y^2) = 5y/r + 3x/r
    √(x^2 + y^2) = (5y + 3x)/r
    √(x^2 + y^2) = (5y + 3x)/√(x^2 + y^2)
    cross multiply
    x^2 + y^2 = 5y + 3x

    which looks like the equation of a circle to me

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