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[tex]y = 4\cos\pi \: x[/tex]
You can find the period by using

[tex] \frac{2\pi}{\pi} = 2[/tex]
Answer is 2

The period of the given function, y = 4cos πx is 2.

What is period of function?

The period of trigonometric function is the horizontal displacement in which a cycle is fulfilling.

Formula for calculating the period of cosine function

To calculate the period(P) of a cosine function, we use the following equation:

[tex]P = \frac{2\pi }{|B|}[/tex]

Where, B is the coefficient that accompanies the argument of the cosine function.

According to the given question

We have a function

y = cosπx

B = π

The period of the given function can be calculated as

[tex]P = \frac{2\pi }{\pi }[/tex]

⇒ P = π

Hence, the period of the given function y = 4cos πx is 2.

Learn more about the period of trigonometric function here:

https://brainly.com/question/26369761

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