Prove that there is no real number x
Source: Canadian Repêchage 2010: Problem 3
May 6, 2014
trigonometry
Problem Statement
Prove that there is no real number satisfying both equations \begin{align*}2^x+1=2\sin x \\ 2^x-1=2\cos x.\end{align*}
Source: Canadian Repêchage 2010: Problem 3