Question

How do you find the amplitude and period of `y=0.5cos2pix`?

Answer 1

Amplitude= 0.5
Period=1

Explanation:

Amplitude is the coefficient of `0.5cos(theta)`. So it is 0.5

Period comes from `omega=(2pi)/T`

`cos(omegax)=cos(2pix)`
Hence, `omega=2pi`

`(2pi)/T=2pi`

Solve for `T`, you get `T=1`.