Question

Write an equation of the cosine function with amplitude 2 and period 6pi.

Answer 1

\(y = \cos(x)\) Amplitude: \(1\) and Period: \(2\pi\)

\(y = 2\cos(x)\) Amplitude: \(2\) and Period: \(2\pi\)

\(y = 2\cos((what?)x)\) Amplitude: \(2\) and Period: \(6\pi\)

Answer 2

1/3?

Answer 3

\(\dfrac{2\pi}{1/3} = 6\pi\). Perfect. Why do yo doubt?