1. The problem statement, all variables and given/known data Show that the equation 2x-1-sin(x) = 0 has exactly one real root. 2. Relevant equations 3. The attempt at a solution I first used the Intermediate Value Theorem to prove that there exists at least one c such that f '(c)=0. The next step requires Rolle's Theorem to prove that there is EXACTLY ONE REAL ROOT, but I have no idea how to proceed at this point.