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.