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Convert from polar to rectangular

  1. Dec 11, 2011 #1
    1. The problem statement, all variables and given/known data

    Convert the polar equation:

    r = [itex]\frac{2}{ 2\,\sin \left( \theta
    \right) -3\,\cos \left( \theta \right)}
    [/itex]

    to rectangular form

    2. Relevant equations

    x^2 + y^2 = r^2
    x = r * cos(theta)
    y = r * sin(theta)


    3. The attempt at a solution

    I tried to to use the x = r cos(theta) technique but had issues simiplifying. Then I tried to x^2+y^2 = r^2 but couldn't complete the square or do anything useful with the r.
     
  2. jcsd
  3. Dec 11, 2011 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Start by clearing the fraction by multiplying both sides by that denominator. Then try your substitutions.
     
  4. Dec 11, 2011 #3
    2*r*sin(x)-3*r*cos(x)=2

    You should be able to figure it out from here.
     
  5. Dec 11, 2011 #4
    Thanks, that helped alot. Did not occur to me to divide by r.
     
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