Answer to Question #85524 in Complex Analysis for Shiva

Question

Determine the Laplace transform of the function
f(t)=cos(t-2π/3) t>2π/3
0. t<2π/3

Answer 1

f(t) can be written in terms of the heaviside step function

f(t)= cos(t-2π/3)u(t-2π/3)

this is cosine function shifted in the time domain, its laplace transform is

F(s)=(s*e^(-2π/3)s)/(s^2+1)