Question

What is the frequency of `f(theta)= sin 12 t - cos 2 t`?

Answer 1

The frequency is `=1/pi Hz`

Explanation:

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

The period of `sin12t` is `T_1=(2pi)/12`

The period of `cos(2t)` is `T_2=(2pi)/2=(12pi)/(12)`

The `"LCM"` of `T_1` and `T_2` is `T=(12pi)/12=pi`

The frequency is `f=1/T=1/pi Hz`

graph{cos(12x)-sin(2x) [-1.443, 12.6, -3.03, 3.99]}