Question

What is the period of the function `y = cos 4x`?

Answer 1

`(pi)/2`

Explanation:

To find the period of the function,we can use the fact that the period is expressed as `(2pi)/|b|`, where `b` is the coefficient on the `x` term inside the function `cos(x)`, namely `cos(bx)`.

In this case, we have `y=acos(bx-c)+d`, where `a`, `c` and `d` are all `0`, so our equation becomes

`y = cos(4x) -> b = 4`, thus the period of the function is `(2pi)/(4) = (pi)/2`