Question

What is the frequency of `f(theta)= sin 4 t - cos 27 t`?

Answer 1

The frequency of `f(theta)` is `=1/(2pi)`

Explanation:

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

The period of `sin4t` is `T_1=(2pi)/4`

The period of `cos27t` is `T_2=(2pi)/27`

The LCM of `T_1` and `T_2` is `T=(108pi)/(54)=2pi`

The frequency is

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