# Solved Problems-11

Problems-11
Determine the Laplace transform of the following periodic waveform.

Solution
Let, for the first half sine wave, the transform is F1(s).

Now, f1(t) = sin tu(t) + sin(t â€“ Ï€u(t â€“ Ï€)

Taking Laplace transform,
F1(s) =

By the theory of periodicity of Laplace transform, the Laplace transform of the full periodic waveform will be,
F(s) =