Question

What is the period of `f(t)=cos ( ( 3 t ) / 2 )`?

Answer 1

`(4pi)/3`

Explanation:

The period of `cos(x)` is `2pi`, thus to find the period, we solve the equation

`(3t)/2 = 2pi`

`=> 3t = 4pi`

`=> t = (4pi)/3`

So `(3t)/2` increases by `2pi` when `t` increases by `(4pi)/3`, meaning `(4pi)/3` is the period of `f(t)`.