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Math Help - Cartesian to polar

  1. #1
    Junior Member
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    Cartesian to polar

    Hi

    I just have a quick question: how do I change x=1-y in to polar coordinates.

    It is for an integration limit problem that I am working on.

    Thanks

    Nerdo
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  2. #2
    Super Member Quacky's Avatar
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    Re: Cartesian to polar

    Is there something stopping you from substituting in x=r\cos\theta and y=r\sin\theta? Am I missing something?
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  3. #3
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    Re: Cartesian to polar

    Quote Originally Posted by Quacky View Post
    Is there something stopping you from substituting in x=r\cos\theta and y=r\sin\theta? Am I missing something?
    once I done that I get cos\theta+sin\theta=1/r

    Is it possible to write it in terms of theta
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  4. #4
    Super Member Quacky's Avatar
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    Re: Cartesian to polar

    It is possible, I think.

    \cos\theta{+}\sin\theta =\frac{1}{r}

    Squaring both sides gives:

    (\cos\theta{+}\sin\theta )^2=\frac{1}{r^2}

    1+\underbrace{2\sin\theta\cos\theta}=\frac{1}{r^2}
    Recognize this, at all?

    Edit: Corrected a mistake.
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  5. #5
    Super Member Quacky's Avatar
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    Re: Cartesian to polar

    I've just editted a mistake from the post above.
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