MathDB

3

Part of 2010 Canadian Mathematical Olympiad Qualification Repechage

Problems(1)

Prove that there is no real number x

Source: Canadian Repêchage 2010: Problem 3

5/6/2014
Prove that there is no real number xx satisfying both equations \begin{align*}2^x+1=2\sin x \\ 2^x-1=2\cos x.\end{align*}
trigonometry