I need to know what the laplace transform is for f(t) * u(t)
More specifically, h(t) = cos(3t)*u(t)
I know that f(t-to) * u(t-to) = e-tos * F(s)
The Attempt at a Solution
So, f(t) = cos(3t)
F(s) = s/(s2 + 9)
In the formula I gave in (2), I would then think that to = 0, because we just are multiplying f(t) by u(t - 0).
So H(s) = e-0*s * F(s)
H(S) = 1* F(s) = s/(s2 + 9)
I think this is right but could someone confirm this?