Hi, i do not know where to post this so i just figured i leave this where there are most people viewing. I need help doing question 4 only. Thanks!!
The steady state part can be expressed in the form
where is the amplitude.
Equate coefficients of and with the corresponding expressions in your formula for and eliminate the by squaring and adding.
then ,squaring and adding,
And sorry, but I know absolutely nothing about the filters mentioned in the question.
I didn't derive anything in post 2, I simply stated what should (at your stage) be a well-known trig identity, and what allows the the expression for given in the question to be written in an alternative form.
Another trig identity, with which you should be familiar, is used later.