# What is the frequency of #f(theta)= sin 12 t - cos 33 t #?

##### 1 Answer

Jul 25, 2016

#### Explanation:

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.

Easily,

The frequency

You can see how this works.

You can verify that

f(t). P has to be a period for every term in such compounded

oscillations.