Math / Trigonometry

QuestionParticipation Activity \#16 This is similar to Try It \#10 in the OpenStax text. What is the amplitude, $|A|$ , of the function $f(x)=5 \cos (x)$ ? $|A|=$ Number

Studdy Solution

STEP 1

1. The function given is $f(x) = 5 \cos(x)$ .
2. The amplitude of a cosine function $f(x) = A \cos(x)$ is given by the absolute value of the coefficient $A$ .

STEP 2

1. Identify the coefficient $A$ in the function.
2. Calculate the amplitude by taking the absolute value of $A$ .

STEP 3

Identify the coefficient $A$ in the function $f(x) = 5 \cos(x)$ .
In this function, the coefficient $A$ is $5$ .

STEP 4

Calculate the amplitude by taking the absolute value of $A$ .
The amplitude $|A|$ is:
$|A| = |5| = 5$
The amplitude of the function $f(x) = 5 \cos(x)$ is:
$\boxed{5}$

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