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Solve system of equations

  1. Sep 16, 2013 #1
    1. The problem statement, all variables and given/known data
    It's a longer problem but all that's left is:

    [tex]y = k^2 \frac{1-cos(\theta)}{2}[/tex]
    [tex]x = k^2 \frac{\theta - sin(\theta)}{2}[/tex]

    I want to find a k that solves the equations for the point [tex](x, y) = (x_0, y_0)[/tex]

    3. The attempt at a solution
    I manipulated them to get two expressions for k, putting them = eachother and simplifying I get

    [tex]2(\theta-sin(\theta)) = 1 - cos(\theta)[/tex]
    And now I'm completely stuck, how on Earth do I go about finding what theta is?
     
    Last edited by a moderator: Sep 16, 2013
  2. jcsd
  3. Sep 16, 2013 #2

    SteamKing

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    You can always iterate, picking a trial solution value for theta: remember to use radians.
     
  4. Sep 16, 2013 #3
    Yeah, that's an option of course. I wonder if that's what the book did, would mean that theta is some relatively nice number I could just find by brute forcing it.
    Will give it a go tomorrow, calling it a day for now.
     
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