Question

What is the frequency of `f(t)= sin 4 t - cos 16 t`?

Answer 1

The frequency is `=2/pi`

Explanation:

The period of the sum of 2 periodic functions is the LCM of their periods.

The period of `sin4t` is `=(2pi)/(4)=pi/2`

The period of `cos16t` is `=(2pi)/(16)=pi/8`

The LCM of `pi/2` and `pi/8` is `=4/8pi=pi/2`

The frequency is

`f=1/T=1/(pi/2)=2/pi`