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Math Help - Converting Polar Equation to Rectangluar Equation

  1. #1
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    Converting Polar Equation to Rectangluar Equation

    Okay, I need to convert r = 4 cos (theta) - 4 sin (theta) into a rectangular equation, and I'm stuck. My best guess is that I need to factor the 4 out of there and somehow square the sine and cosine to make it equal to 1, and that will give me my answer. Any help?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by JoshHJ View Post
    Okay, I need to convert r = 4 cos (theta) - 4 sin (theta) into a rectangular equation, and I'm stuck. My best guess is that I need to factor the 4 out of there and somehow square the sine and cosine to make it equal to 1, and that will give me my answer. Any help?
    Multiply the entire equation through by r:

    r=4\cos\vartheta-4\sin\vartheta\implies r^2=4r\cos\vartheta-4r\sin\vartheta

    Take it from here. It shouldn't be much of a problem

    --Chris
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JoshHJ View Post
    Okay, I need to convert r = 4 cos (theta) - 4 sin (theta) into a rectangular equation, and I'm stuck. My best guess is that I need to factor the 4 out of there and somehow square the sine and cosine to make it equal to 1, and that will give me my answer. Any help?
    not necessary

    multiply both sides of the equations by r. the required simplification should be staring you in the face from there. if not, say so
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  4. #4
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    That was easier than I thought, heh. Thanks.
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