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Math Help - Solution of equation

  1. #1
    Super Member malaygoel's Avatar
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    Lightbulb Solution of equation

    I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
    For example, how could we solve x - cosx=0?
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    Malay
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  2. #2
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    Quote Originally Posted by malaygoel
    I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
    For example, how could we solve x - cosx=0?
    Keep Smiling
    Malay
    I can proof that a unique solution exists.

    You can approximate solutios with "Newton-Raphson Alogorthm".

    I would not be supprised that the solution is transcendental
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by malaygoel
    I was just wondering how could one find the solution of equations involving trigonometric and polynomial expressions.
    For example, how could we solve x - cosx=0?
    Keep Smiling
    Malay
    Most solutions to mixed algebraic/tanscendetal equations are do
    not have simple closed forms in terms of the usual elementary functions
    (no don't ask me to prove it). So do however have such solutions, see
    this thread

    RonL
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