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

Question

asked Nov 6, 2020 187k views

1 Answer

Ben Dolman · Answer 1 · 2020-11-10T03:24:41+0000

Answer:

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