MathDB

11.1

Part of 1994 All-Russian Olympiad Regional Round

Problems(1)

Russian trig inequality

Source: Russian MO 1994

6/30/2017
Prove that for all x∈(0,π3)x \in \left( 0, \frac{\pi}{3} \right) inequality sin2x+cosx>1sin2x+cosx>1 holds.
InequalitytrigonometryTrigonometric inequalityinequalities