What is the period of the function? y=2 cos pi x
The period is the distance required for the function to complete one full cycle. The period is 2π/B where B in this case is equal to 1. Therefore, the period of the function is 2π. Hope this answers the question. Have a nice day.
Answer:
Step-by-step explanation:
Alright, lets get started.
The given function is : \(y=2cos(\pi x)\)
As per the standard one, the cos function is : \(y=cos(bx+c)\)
When we compare our function with standard one,
a is 2
b is π
c is 0
The formula for period is : \(\frac{2\pi }{b}\)
Plugging the value of b, the period is : \(\frac{2\pi }{\pi }=2\)
Hence the period is 2 : Answer
Hope it will help :)