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Thread: Finding the x-intercept of f(x) = x + cos(x)

  1. #1

    Finding the x-intercept of f(x) = x + cos(x)

    f(x) = x + cos(x)
    I found the y-intercept to be 1
    f(0) = 0 + cos(0) = 1

    However, when trying to solve for f(x) = 0, I get -x = cos(x).

    From this point it seems to be a trial and error game or calls for the use of some complex function to solve for x. Is there a simpler way?

  2. #2
    Elite Member
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    Quote Originally Posted by swjafar View Post
    f(x) = x + cos(x)
    I found the y-intercept to be 1
    f(0) = 0 + cos(0) = 1

    However, when trying to solve for f(x) = 0, I get -x = cos(x).

    From this point it seems to be a trial and error game or calls for the use of some complex function to solve for x. Is there a simpler way?
    No, I think you have it. There are many interesting methods for finding numerical solutions where your algebraic efforts prove insufficient. Some require the Calculus. (derivatives can be helpful.) Some don't.
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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