Respuesta :
[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:
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