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}

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