What is the period of the function f(x)=-4cos(5x-9)-7? Give an exact value. units

Identify standard form: Identify the standard form of the cosine function to determine the period. The standard form of a cosine function is f(x) = A * cos(Bx - C) + D, where: - A is the amplitude, - B affects the period of the function, - C is the phase shift, and - D is the vertical shift. In the given function f(x) = -4 * cos(5x - 9) - 7, we can see that B = 5.Calculate period: Calculate the period of the function using the value of B. The period of a cosine function is given by the formula Period = 2π / |B|. For the given function, B = 5, so we calculate the period as follows: Period = 2π / |5| = 2π / 5.Verify calculation: Verify that there are no mathematical errors in the calculation. The calculation of the period is straightforward and involves basic arithmetic. There are no mathematical errors in the calculation.

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What is the period of the function
f(x)=-4cos(5x-9)-7?
Give an exact value.
units

What is the period of the function $f(x)=-4 \cos (5 x-9)-7$ ? $\newline$ Give an exact value. $\newline$ units

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Q. What is the period of the function

f(x)=-4 \cos (5 x-9)-7

\newline

Give an exact value.

\newline

units

Identify standard form: Identify the standard form of the cosine function to determine the period. $\newline$ The standard form of a cosine function is $f(x) = A \cdot \cos(Bx - C) + D$ , where: $\newline$ - $A$ is the amplitude, $\newline$ - $B$ affects the period of the function, $\newline$ - $C$ is the phase shift, and $\newline$ - $D$ is the vertical shift. $\newline$ In the given function $f(x) = -4 \cdot \cos(5x - 9) - 7$ , we can see that $B = 5$ .
Calculate period: Calculate the period of the function using the value of B. $\newline$ The period of a cosine function is given by the formula $\text{Period} = \frac{2\pi}{|B|}$ . $\newline$ For the given function, $B = 5$ , so we calculate the period as follows: $\newline$ $\text{Period} = \frac{2\pi}{|5|} = \frac{2\pi}{5}$ .
Verify calculation: Verify that there are no mathematical errors in the calculation. $\newline$ The calculation of the period is straightforward and involves basic arithmetic. There are no mathematical errors in the calculation.