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Math Help - Rectangular form into Polar Form

  1. #1
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    Exclamation Rectangular form into Polar Form

    how do you change the rectangular equation (x+1)^2 + y^2 = 1 into polar form?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by jumpman23 View Post
    how do you change the rectangular equation (x+1)^2 + y^2 = 1 into polar form?
    Expand:

    x^2+2x+1+y^2=1\implies x^2+y^2+2x=0

    Convert:

    x^2+y^2+2x=0\implies r^2+2r\cos\theta=0

    Simplify (solve for r):

    r^2+2r\cos\theta=0\implies r^2=-2r\cos\theta\implies r=-2\cos\theta

    Does this make sense?
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  3. #3
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    yes it does. thank you so much for your help.
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