What is laplacetransform cos(t/2) ?

The answer to laplacetransform cos(t/2) is (4s)/(4s^2+1)

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laplacetransform cos(t/2)

laplace transform

cos (\frac{t}{2})

\frac{4 s}{4 s ^{2} + 1}

Solution steps

L {cos (\frac{t}{2})}

Use Laplace Transform table:

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

L {cos (\frac{t}{2})} = \frac{s}{s ^{2} + ( \frac{1}{2} ) ^{2}}

= \frac{s}{s ^{2} + ( \frac{1}{2} ) ^{2}}

= \frac{4 s}{4 s ^{2} + 1}

\frac{22.96}{( s + 10.7 )}

x \to 2 lim (\frac{sin ( x )}{x})

\frac{d}{d x} (ln (\frac{1}{4} e^{x} + \frac{3}{4} e^{- x}))

\frac{d}{d x} (ln ∣ x - 1 ∣)

f^{^{'}} (x) = cos (x), f (0) = - 5

What is laplacetransform cos(t/2) ?
The answer to laplacetransform cos(t/2) is (4s)/(4s^2+1)