Question

Determine the amplitude or period as requested. Amplitude of y=3 cos 1 2

Answer 1

The amplitude is 3

Explanation:

Given

The right function is:

`y = 3 \cos((1)/(2)x)`

Required

The amplitude

A sine function is represented as:

`y =A \cos(Bx + C) + D`

Where

`Amplitude = |A|`

By comparing:

`y = 3 \cos((1)/(2)x)` and
`y =A \cos(Bx + C) + D`

`A= 3`

So:

`Amplitude = |3|`

`Amplitude = 3`

Hence, the amplitude is 3