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Math Help - Polar Equation

  1. #1
    Del
    Del is offline
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    Polar Equation

    A curve with polar equation:

    r= 44 / 4sinθ + 29cosθ

    represents a line. This line has a Cartesian equation of the form
    y = mx + b ,where m and b are constants. Give the formula
    for y in terms of x. For example, if the line had equation
    y = 2x+3 then the answer would be 2*x + 3 .

    Please help!
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  2. #2
    Super Member PaulRS's Avatar
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    Remember that: x=r\cdot{\cos(\theta)}, y=r\cdot{\sin(\theta)} and x^2+y^2=r^2

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  3. #3
    Behold, the power of SARDINES!
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    Quote Originally Posted by Del View Post
    A curve with polar equation:

    r= 44 / 4sinθ + 29cosθ

    represents a line. This line has a Cartesian equation of the form
    y = mx + b ,where m and b are constants. Give the formula
    for y in terms of x. For example, if the line had equation
    y = 2x+3 then the answer would be 2*x + 3 .

    Please help!
    I assume you mean this

    r=\frac{44}{4\sin(\theta)+19 \cos(\theta)} \iff r(4\sin(\theta)+19 \cos(\theta))=44 =

    4\underbrace{r\sin(\theta)}_{y} + 19 \underbrace{r\cos(\theta)}_{x} =44 \iff 4y+19x=44

    So y=-\frac{19}{4}x+11
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