GATE (TF) Textile 2020 Question Paper Solution | GATE/2020/TF/03

Q.3	Laplace transform of cosh(t) is
(A)	$\frac{1}{s^{2}-1}$
(B)	$\frac{s}{s-1}$
(C)	$\frac{s}{s^{2}-1}$
(D)	$\frac{s}{s^{2}+1}$

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cosh(t)

We know –

$cosh(at)=\frac{s}{s^2-a^2}$ a=1

$cosh(t)=\frac{s}{s^2-1^2}$

$cosh(t)=\frac{s}{s^2-1}$ (Ans)