How to take Laplace Transform of functions like sin(f'(t)) or sinh(f'(t)) where f'(t) is the derivative of another function with respect to time.
(p.s1 this information may not be relevant but f'(t) is L(f′(t)) = sL(f(t)) − f(0))
(p.s2 I was thinking of Taylor expansion of the trigonometric function before taking the Laplace transform, but I'm not sure if this is the proper way.)