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Determine the amplitude of the following:

y = sin 4x

y = 4 cos x

y = 3 sin 2/3 x

y = 3 cos

User Atin
by
7.5k points

1 Answer

3 votes
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

User Neftaly
by
7.8k points

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