Question

find the amplitude of the trigonometric function. f(x) = 3 cos(x) - 1 simplify any fractions. amplitude =

Explanation:

Step1: Recall amplitude formula

For a trigonometric function of the form \( f(x) = A\cos(Bx - C) + D \), the amplitude is \( |A| \).

Step2: Identify A in given function

In \( f(x) = 3\cos(x) - 1 \), we can rewrite it as \( f(x) = 3\cos(1\cdot x - 0) + (-1) \). Here, \( A = 3 \), \( B = 1 \), \( C = 0 \), \( D = -1 \).

Step3: Calculate amplitude

Using the amplitude formula, amplitude \( = |A| = |3| = 3 \).

Answer:

3