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Rolle's Theorem between two continuous functions! Help please!

  1. Oct 16, 2012 #1
    1. The problem statement, all variables and given/known data
    Continuous function f: R → R, f(x) = 1 - e(x)sin(x)
    Continuous function g: R → R, g(x) = 1 + e(x)cos(x)

    2. Relevant equations
    Using Rolle's Theorem, prove that between any two roots of f, there exists at least one root of g.

    3. The attempt at a solution
    I think I'm meant to find an interval (a, b) where g(a)>0 and g(b)<0 then using the Intermediate Value Theorem prove the root. Except I don't know how to go about finding a or b or how Rolle's Theorem comes into play.

    Help appreciated.
  2. jcsd
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