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Math Help - [SOLVED] converting polar equations to rectangular equations

  1. #1
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    [SOLVED] converting polar equations to rectangular equations

    I'm pretty stuck here.. any assistance would be helpful

    given r=3cos\Theta, convert to rectangular form

    I know that r^2 = x^2  + y^2, so I could square both sides

    r^2 =  (3cos\Theta)^2
    x^2 +y^2 = (3cos\Theta)^2

    But at that point I'm stuck. I have the answer from the back of the book, but can't work out how to complete the conversion.
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  2. #2
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    Quote Originally Posted by satis View Post
    I'm pretty stuck here.. any assistance would be helpful

    given r=3cos\Theta, convert to rectangular form

    I know that r^2 = x^2  + y^2, so I could square both sides

    r^2 =  (3cos\Theta)^2
    x^2 +y^2 = (3cos\Theta)^2

    But at that point I'm stuck. I have the answer from the back of the book, but can't work out how to complete the conversion.
    r = 3\cos{\theta}

    multiply both sides by r ...

    r^2 = 3r\cos{\theta}

    x^2+y^2 = 3x
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  3. #3
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    ah! of course. Thanks a lot.
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