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Math Help - trig equation

  1. #1
    Junior Member BERMES39's Avatar
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    trig equation

    I want to know if there is an analytical solution for equations of this type:

    cos(x) = x^2

    This is very easy to solve with the graphic calculator by plotting the two graphs and finding the intersection. In this case x= 0.8241 or -0.8241.

    Thank you.
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Re: trig equation

    Quote Originally Posted by BERMES39 View Post
    I want to know if there is an analytical solution for equations of this type:

    cos(x) = x^2

    This is very easy to solve with the graphic calculator by plotting the two graphs and finding the intersection. In this case x= 0.8241 or -0.8241.

    Thank you.
    I have never seen any analytic solution of these types of equations although i don't know if someone can prove that no analytic solution exists. I don't know how to DEFINE 'analytic solution' for that matter.
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  3. #3
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    Re: trig equation

    do you know about Newton Ramphson's method. I think it will be helpful
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  4. #4
    Junior Member BERMES39's Avatar
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    Re: trig equation

    Thank you, but I am not familiar with the Newton Ramphson's method, and don't seem to find it in my references. Could you explain what this method is?

    Your help is appreciated.
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  5. #5
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    Re: trig equation

    Quote Originally Posted by BERMES39 View Post
    Thank you, but I am not familiar with the Newton Ramphson's method, and don't seem to find it in my references. Could you explain what this method is?

    Your help is appreciated.
    It is Newton-Raphson's method (use Google if you want to find out more). I doubt you are expected to use it. Use technology to get an approximate solution to the equation (to the desired accuracy), it cannot be solved exactly.
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