MathCastle
TrigonometrySuperchallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Superchallenge problem

For how many integers xx with 1≤x≤20261\le x\le2026 does the graph of y=sin⁡πx7y=\sin\dfrac{\pi x}{7} lie strictly above the graph of y=sin⁡πx5y=\sin\dfrac{\pi x}{5}?