Laplace Transform of: $\cos(4t) * \sin(3t)$

laplace transform

I am new to Laplace Transform so Can anyone please solve this question ?
$$
\mathcal{L}\left[ \cos( 4t ) * \sin( 3t )\right]
$$

Best Answer

HINT

One of the famous properties of the Laplace transform is that it converts convolution into multiplication, so one step may be $$ \mathcal{L}\left[ \cos( 4t ) * \sin( 3t )\right] = \mathcal{L}\left[ \cos( 4t )\right] \cdot \mathcal{L}\left[ \sin( 3t )\right] $$

Can you take it from here?

Related Question