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  • 06-03-2019
  • Mathematics
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How to find the period of the function y = (cos 2pi(x-2))

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 06-03-2019

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]

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