Express the given function in terms of the unit step function and find the Laplace transform.
f(t)={sin(t)if0≤t<2πsin(t)+cos(t)ift≥2π\displaystyle {f{{\left({t}\right)}}}={\left\lbrace\begin{array}{ccc} {\sin{{\left({t}\right)}}}&\text{if}&{0}\le{t}\lt{2}\pi\\{\sin{{\left({t}\right)}}}+{\cos{{\left({t}\right)}}}&\text{if}&{t}\ge{2}\pi\end{array}\right.}f(t)={sin(t)sin(t)+cos(t)ifif0≤t<2πt≥2π
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