Question

What is the period of `f(t)=cos 8 t`?

Answer 1

The period is `pi/4`. See explanation.

Explanation:

For any trigonometric function if the variable is multiplied by `a` then the period is `a` times smaller.

Here the basic function is `cost`, so the basic period is `2pi`. The coefficient by which `t` is multiplied is `8`, so the new period is:

`T=(2pi)/8=pi/4`