What is laplacetransform cos(6t) ?

The answer to laplacetransform cos(6t) is s/(s^2+36)

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laplacetransform cos(6t)

laplace transform

cos (6 t)

\frac{s}{s ^{2} + 36}

Solution steps

L {cos (6 t)}

Use Laplace Transform table:

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

L {cos (6 t)} = \frac{s}{s ^{2} + 6 ^{2}}

= \frac{s}{s ^{2} + 6 ^{2}}

= \frac{s}{s ^{2} + 36}

\frac{d}{d x} (\frac{1}{( x ^{2} + 1 ) ^{\frac{3}{2}}})

f (x) = \frac{1 - 5 x}{x + 3}

\frac{d}{d x} (x^{\frac{8}{x}})

x \to π lim (ln (cos (x) - 8))

cos (5 t)

What is laplacetransform cos(6t) ?
The answer to laplacetransform cos(6t) is s/(s^2+36)