Question

What is the period of `f(t)=sin( 4 t )+ cos( 24t )`?

Answer 1

`pi/2`.

Explanation:

The period of both `sin kt and cos kt` is `(2pi)/k`. So,

the period `P_1`of `cos 24t` is`pi/12` and

the period `P_2` of `sin 4t=pi/2=6P_1`. And so,

the period of the compounded oscillation

`f(t)=sin4t+cos24t,`

`P=P_2=pi/2=6P_1`.