i'd like to ask an expertProblem 2[26 Marks]A periodic function is a function that repeats its values at regular intervals. For example, thetrigonometric functions, which repeat at intervals of2 radians, are periodic functions.If a function, f(t), has period T then itis true thatf(t)=f(t+T)Itis usual to consider periodic functions by considering the behaviour over 1 period. Todo this weconsider a windowed version of the functionfT(t)={f(t),0tT0,OtherwiseafT(t) and hence show thatL{f(t)}(s)=11-e-sTL{fT(t)}(s)Hint: abg(t)dt=ag(t)dt-bg(t)dt, and bg(t)dt=0g(x+b)dx, where x=t-bbf(t)=sin(t)ii