Question

What is the period of the function? y=2 cos pi x

Answer 1

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 2

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 :
`(2\pi )/(b)`

Plugging the value of b, the period is :
`(2\pi )/(\pi )=2`

Hence the period is 2 : Answer

Hope it will help :)