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convert polar equation to rectangular coordinates:

r^2=4sin2(theta)

  • MATH -

    conversion formulas
    r^2 = x^2 + y^2
    sinØ = y/r
    cosØ = x/r

    r^2 = 4 sin 2Ø
    r^2 = 4(2sinØcosØ) = 8sinØcosØ
    x^2 + y^2 = 8(y/r)(x/r)
    = 8xy/r^2
    x^2 + y^2 = 8xy/(x^2 + y^2)
    (x^2 + y^2)^2 = 8xy

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