What is laplacetransform cos(sqrt(2)x) ?

The answer to laplacetransform cos(sqrt(2)x) is s/(s^2+2)

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laplacetransform cos(sqrt(2)x)

laplace transform

cos (2 x)

\frac{s}{s ^{2} + 2}

Solution steps

L {cos (2 x)}

Use Laplace Transform table:

L {cos (a t)} = \frac{s}{s ^{2} + a ^{2}}

L {cos (2 x)} = \frac{s}{s ^{2} + ( 2 ) ^{2}}

= \frac{s}{s ^{2} + ( 2 ) ^{2}}

= \frac{s}{s ^{2} + 2}

What is laplacetransform cos(sqrt(2)x) ?
The answer to laplacetransform cos(sqrt(2)x) is s/(s^2+2)