MathDB

10.5

Part of 2006 All-Russian Olympiad Regional Round

Problems(1)

| sin nx| >= \sqrt3 / 2 - All-Russian MO 2006 Regional (R4) 10.5

Source:

9/27/2024
Prove that for every xx such that sin⁡x≠0\sin x \ne 0, there is such natural nn, which ∣sin⁡nx∣≥32. | \sin nx| \ge \frac{\sqrt3}{2}.
algebrainequalitiestrigonometry