Question

Determine the amplitude of the following:

y = sin 4x

y = 4 cos x

y = 3 sin 2/3 x

y = 3 cos

Answer 1

QUESTION 1

The first function is

`y = \sin(4x)`
A function of the form

`y = A \sin(Bx)`

has amplitude equal to


`|A|`


The amplitude of

`y = \sin(4x)`

is


`1`


QUESTION 2


The given function is


`y = 4 \cos(x)`

A trigonometric function of the form

`y = A \cos(Bx)`


also has an amplitude of

`|A|`

The amplitude of

`y = 4 \cos(x)`

is


`4`


QUESTION 3

The given trigonometric function is


`y = 3 \sin( (2)/(3) x)`

The amplitude of this trigonometric function is


`3`

QUESTION 4.

The given trigonometric function is


`y = 3 \cos(x)`


The amplitude of this cosine function is

`3`