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Math Help - solve x cos(x) = -(3pi+2)/2pi

  1. #1
    primer
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    solve x cos(x) = -(3pi+2)/2pi

    Hello.

    I would be thankful if someone would give me a help in finding a solution for
    x cos(x) = -(3pi+2)/2pi

    Regrads.
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  2. #2
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    Quote Originally Posted by primer
    Hello.

    I would be thankful if someone would give me a help in finding a solution for
    x cos(x) = -(3pi+2)/2pi

    Regrads.
    I do not think you can using elementary algebraic methods.
    But if you want to approximate the solution you can use Newton's-Raphson Method.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by primer
    Hello.

    I would be thankful if someone would give me a help in finding a solution for
    x cos(x) = -(3pi+2)/2pi

    Regrads.
    This almost certainly does not have a simple closed form solution in simple
    terms. Numerically its easy to find approximate solutions:

    x = 2.420631593

    is ~the smallest positive real solution

    RonL
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