# GATE Mechanical 2014 Set 4 | Question: 5

Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is

1. $\dfrac{s-2}{(s-2)^2+16} \\$
2. $\dfrac{s+2}{(s-2)^2+16} \\$
3. $\dfrac{s-2}{(s+2)^2+16} \\$
4. $\dfrac{s+2}{(s+2)^2+16}$

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