MathCastle
TrigonometrySuperchallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Superchallenge problem

The graph of y=6sin⁡2(3x)−1y=6\sin^2(3x)-1 is a sinusoid. Written in the form y=acos⁡(bx)+dy=a\cos(bx)+d with b>0b>0, find a+b+da+b+d.