What is the frequency of #f(theta)= sin 12 t - cos 33 t #?
The least positive P for which f(t+P)=f(t) is the period of f(theta)#
Separately, the period of both cos kt and sin kt =
Here, the separate periods for periods for sin (12t) and cos (33t) are
So, the compounded period is given by
such that P is positive and least.
You can see how this works.
You can verify that
f(t). P has to be a period for every term in such compounded