what is the laplace transform of cost+4sint

Answer 1

You will find the answer here.

http://en.wikipedia.org/wiki/Laplace_transform

Set w (omega) = 1.
Add the Laplace transforms of the two terms.

I get (1 + 4s)/(s^2 + 1)

Answer 2

Hmm. I get (s+4)/(s^2+1)