Answer:
The period is 1
Step-by-step explanation:
The given trigonometric function is;
[tex]y=\cos(2\pi(x-2))[/tex].
To determine the period of this function, we calculate the length of the interval on which the graph completes one full cycle.
We can see from the graph that; the function completes one full cycle on the interval [0,1].
Hence the period is 1.
You could also use
[tex]T=\frac{2\pi}{B}[/tex]
From the equation; [tex]B=2\pi[/tex]
[tex]T=\frac{2\pi}{2\pi}[/tex]
[tex]T=1[/tex]