Question

What is the frequency of `f(theta)= sin 2 t - cos 4 t`?

Answer 1

The frequency is `=1/pi`

Explanation:

The period of the sum of `2` periodic functions is the LCM of their periods

The period of `sin2t` is `T_1=(2pi)/2=(4pi)/4`

The period of `cos4t` is `T_2=(2pi)/4`

The LCM of `T_1` and `T_2` is `T=(4pi)/4=pi`

The frequency is

`f=1/T=1/pi`