Question

Time domain function of \(\frac{s}{a^2+s^2}\) is given by?

(a) Cos(at)

(b) Sin(at)

(c) Cos(at)Sin(at)

(d) Sin(t)

I have been asked this question by my school teacher while I was bunking the class.

I would like to ask this question from Laplace Transform by Properties topic in section Laplace Transform of Engineering Mathematics

Answer 1

Right answer is (a) Cos(at)

The explanation: L[Cos(at)] = \(\frac{s}{a^2+s^2}\)

L^-1 \([\frac{s}{a^2+s^2}]\) = Cos(at).