Question

What is the frequency of `f(theta)= sin 12 t - cos 18 t`?

Answer 1

`pi`

Explanation:

Frequency of sin (12t) --> `(2pi)/12 = pi/6`
Frequency of cos (18t) -->`(2pi)/18 = pi/9`
Least common multiple of `(pi)/6 and (pi)/9` is `pi`
`(pi/6)` ... x (6) ...--> `pi`
`(pi/9)` .... x (9) ... --> `pi`
Frequency of f(t) is `pi`