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Number of real solutions to x/100=sinx

  1. Feb 6, 2010 #1
    I'm wondering if anyone here knows how to approach a problem like this:

    The number of real solutions to the equation x/100 = sinx is...

    I know I could always graph them and and count the number of intersections but that isn't really practical.
  2. jcsd
  3. Feb 6, 2010 #2


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    Try it anyways -- maybe you'll figure out a way to speed up the process along the way, or otherwise discover something useful?
  4. Feb 6, 2010 #3
    when does x/100 become greater than sin x? (hint: the answer is 100)

    What happens at each successive interval of length pi/2, starting from 0?
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