Given:
Given a table of values of a cosine function.
Required: Period of the function
Explanation:
The maximum of the cosine function occurs at the points
[tex]x=-2\pi\text{ and }x=2\pi[/tex]
The period of the function is the modulus of the difference of the consecutive values at which the function attains maximum/minimum.
[tex]\begin{gathered} \text{ Period=}|-2\pi-2\pi| \\ =|-4\pi| \\ =4\pi \end{gathered}[/tex]
Final Answer: The period of the given cosine function f(x) is
[tex]4\pi[/tex]
