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Math Help - Polar to Rectangular Equations

  1. #1
    mi65chael2008
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    Polar to Rectangular Equations

    How could you change r=-3sin(Theta) into a rectangular equation?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mi65chael2008 View Post
    How could you change r=-3sin(Theta) into a rectangular equation?
    Call t = theta.

    x = r*cos(t)
    y = r*sin(t)

    So
    r = sqrt{x^2 + y^2}

    Now, sin(t) = y/r = y/sqrt{x^2 + y^2}

    Thus:
    r = -3*sin(t) <==> sqrt{x^2 + y^2} = -3*y/sqrt{x^2 + y^2}

    Now simplify until you have a form that satisfies you.

    -Dan

    (If you mulitply both sides by sqrt{x^2 + y^2} it starts looking suspisciously like a circle. See if you can prove that.)
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