# Given the equation u_(pi)(t)sin(at), where u_(tau)(t) is the Heaviside step function. Give the Laplace transform Y(s).

Given the equation ${u}_{\pi }\left(t\right)sin\left(at\right)$, where ${u}_{\tau }\left(t\right)$ is the Heaviside step function.
Give the Laplace transform Y(s).
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Jane Acosta
Hint: another variant of the transform law is
$\mathcal{L}\left\{{u}_{c}\left(t\right)f\left(t\right)\right\}={e}^{-cs}F\left(s+c\right)$
which lets you do a shift after the transform instead of before. This way, you only need the transform of $\mathrm{sin}\left(at\right)$, rather than the function shifted.