maximum of |sin(x)| and |sin(x+2010)|
Source: Moldova TST 2010, day 1, problem 2
March 3, 2010
inequalitiestrigonometrycalculusderivativealgebra proposedalgebra
Problem Statement
Prove that for any real number the following inequality is true:
\max\{|\sin x|, |\sin(x\plus{}2010)|\}>\dfrac1{\sqrt{17}}