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Find the Cartesian form of the equation, r3 = 3r cosØ

  • maths -

    I will assume you meant
    r^3 = 3r cosØ

    Use: r^2 = x^2 + y^2 and x/r = cosØ

    so if rcosØ = x
    then 3rcosØ = 3x

    and r^3 = r^2 r
    = (x^2 + y^2)(x^2+y^2^(1/2)
    = (x^2 + y^2)^(3/2)

    r^3 + 3rcosØ ---> (x^2 + y^2)^(3/2) = 3x

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