My problem is regarding this function:
and Im suppose to write the Laplace transformation of this product using the theorem:
I understand the principle behind this problem, and I know the answer is * L(cos(3t) in terms of t-pi/6). Its just I can't figure out how to rewrite in terms of . I tried to do cos use the addition property, and end up getting stuck with a that I dont know what to do with. Can someone help me out?
Yes that is a great help! Didn't think to use those angle identities.
So the other problem related to this is:
Using your guide as a reference, I did this
Here I wasnt sure what to do, so I split it up using the addition formula.
Then converting to laplace, I get this
Then multiply that by the L of the heaviside,
However, the answer in the back of the book is
Am I doing something wrong? I dont know where they got a s^2 in the numerator, since the laplace of cos is s/(s^2+a^2) and sin is a^2/(s^2+a^2).