Question

What is the frequency of `f(theta)= sin 12 t - cos 42 t`?

Answer 1

`pi/3`

Explanation:

Frequency of sin (12t) --> `(2pi)/12 = pi/6`
Frequency of cos (42t) -->`(2pi)/42 = pi/21`
Find least common multiple of `(pi/6) and (pi/21)`
`pi/6`... x (2) ... --> `pi/3`
`(pi/21)` ... x (7) ... --> `pi/3`
Frequency of f(t) --> `pi/3`