Question

How to find the period of the function y = (cos 2pi(x-2))

Answer 1

The period is 1

Explanation:

The given trigonometric function is;

`y=\cos(2\pi(x-2))`.

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

`T=(2\pi)/(B)`

From the equation;
`B=2\pi`

`T=(2\pi)/(2\pi)`

`T=1`