MathCastle
TrigonometryChallengeGraphs of Sine and Cosine

Graphs of Sine and Cosine · Challenge problem

xy(2, 9)(6, 1)

A sinusoid has a maximum at the point (2,9)(2,9) and its very next minimum at (6,1)(6,1). Write an equation for it in the form y=acos⁡ ⁣(b(x−h))+dy=a\cos\!\big(b(x-h)\big)+d.