1 Answer

Ogglas · Answer 1 · 2023-12-30T12:37:08+0000

Given:

Given a table of values of a cosine function.

Required: Period of the function

Step-by-step explanation:

The maximum of the cosine function occurs at the points

$x=-2\pi\text{ and }x=2\pi$

The period of the function is the modulus of the difference of the consecutive values at which the function attains maximum/minimum.

$\begin{gathered} \text{ Period=}|-2\pi-2\pi| \\ =|-4\pi| \\ =4\pi \end{gathered}$

Final Answer: The period of the given cosine function f(x) is

$4\pi$

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