Question

What is the frequency of `f(theta)= sin 3 t - cos 7 t`?

Answer 1

`2pi`

Explanation:

Period of `sin (3t) --> (2pi/3)`
Period of `cos (7t) --> (2pi/7)`
Least multiple of `(2pi/3)` and `(2pi/7)` --> `(2pi)`

`((2pi)/3)` x 3 times = `2pi`
`((2pi)/7)` x 7 times = `2pi`

Period of `f(t) --> 2pi`