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Can you solve this equation for x?

  1. Jan 28, 2012 #1
    2. Relevant equations

    x*cos(Ax) + B*sin(Ax) = 0

    Where A and B are nonzero constants.

    3. The attempt at a solution

    The only value of x where both terms are zero is x=0. All other solutions (presumably an infinite number of them) occur when:

    x*cos(Ax) = -B*sin(Ax), x≠0.

    This seems intractable to me, but I don't have the math skills required to recognize an equation that cannot be solved algebraically.
  2. jcsd
  3. Jan 28, 2012 #2


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    Science Advisor
    Homework Helper

    Hi Michael! :smile:
    You can simplify it as tan(Ax)/x = -1/B …

    yes, that has no algebraic solution.
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