Question

What is the frequency of `f(theta)= sin 5 t - cos 25 t`?

Answer 1

The frequency is `=5/(2pi)`

Explanation:

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

The period of `sin5t` is `=2/5pi=10/25pi`

The period of `25t` is `=2/25pi`

The LCM of `10/25pi` and `2/25pi` is `=10/25pi`

The frequency is `f=1/T=25/(10pi)=5/(2pi)`