Question

Determine the amplitude of the following:

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

$y = 3 \sin( \frac{2}{3} x)$

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
$3$