Question

What is the frequency of `f(theta)= sin 3 t - cos 14 t`?

Answer 1

The frequency is `=1/(2pi)`

Explanation:

The period of the sum of 2 periodic functionc is the LCM of their periods

Period of `sin3t` is `=(2pi)/3=(14pi)/21`

Period of `cos14t` is `=(2pi)/14=pi/7=(3pi)/21`

The LCM of `(14pi)/21` and `(3pi)/21` is `=(42pi)/21=2pi`

The frequency is `f=1/T=1/(2pi)`