Question

Cos² at
trans form of
5. Find the laplace​

Answer 1

cos^2 (at) =( 1 + cos 2at) / 2

= 1/2 + cos 2at

Laplace transform :

as we know Laplace transform of -

1 = 1/s

cos 2at = S / ( S^2 + (2a)^2 )

1/2 L(1) + 1/2 L (cos 2at)

= 1/2S + S / 2[S^2 + (2a)^2]