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Thread: Polar Coordinates Question

  1. #1
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    Polar Coordinates Question (Solved)

    Um, how would one convert this rectangular equation into polar form:

    (x+1)^2 + (y-4)^2 = 17
    Last edited by NotoriousPi; Jun 23rd 2010 at 11:28 PM. Reason: Solved
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  2. #2
    MHF Contributor red_dog's Avatar
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    Put x=\rho\cos\theta, \ y=\rho\sin\theta. Then

    (\rho\cos\theta+1)^2+(\rho\sin\theta-4)^2=17

    \rho^2(\cos^2\theta+\sin^2\theta)+2\rho\cos\theta-8\rho\sin\theta=0

    \rho^2+2\rho(\cos\theta-4\sin\theta)=0
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  3. #3
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    Many thanks. I solved this problem differently, but I was checking to match up answers.
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  4. #4
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    Then you should have given the answer first and asked others to check it. Many people will not simply give you the answer to a home work problem.
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  5. #5
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    Well, it was actually to study before a test, but yes, if I do have similar problems, I will post up next time.
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