MathCastle
TrigonometrySuperchallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Superchallenge problem

How many real numbers xx with 0≤x<2π0\le x<2\pi satisfy sin⁡(3πcos⁡x)=12\sin\left(3\pi\cos x\right)=\dfrac12?