Laplace Transform of f(t) x cos(t)

[alanifamily]

Homework Statement

Find the Laplace transform of f(t) x cos(t) (multiplication) if the Laplace transform of f(t) is F(s).

Homework Equations

The Attempt at a Solution

I'm pretty sure I am supposed to use the second equation, however I do not understand how to use it. If you could give me an example on how to find the Laplace Tranform of f(t) x g(t) that would be very helpful.

Thank you

 

[╔(σ_σ)╝]

The laplace transform has the following properties.

L{f x g} = F(s)*G(s) (i)

L{f*g} = F(s)xG(s) (ii)

* stands for convolution.

Property (i) is pretty much your eqn 2.