Question

Can u please double check I answered this correctly! The first time I got 4pi. The second I got 2pi…

Answer 1

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`