MathCastle
TrigonometryChallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Challenge problem

How many integers xx with 0≤x≤1000\le x\le100 give a point of the graph of y=sin⁡πx6y=\sin\dfrac{\pi x}{6} lying strictly above the line y=12y=\dfrac12?