What is laplacetransform cos(1/4 t) ?

The answer to laplacetransform cos(1/4 t) is (16s)/(16s^2+1)

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laplacetransform cos(1/4 t)

laplace transform

cos (\frac{1}{4} t)

\frac{16 s}{16 s ^{2} + 1}

Solution steps

L {cos (\frac{1}{4} t)}

Use Laplace Transform table:

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

L {cos (\frac{1}{4} t)} = \frac{s}{s ^{2} + ( \frac{1}{4} ) ^{2}}

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

= \frac{16 s}{16 s ^{2} + 1}

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What is laplacetransform cos(1/4 t) ?
The answer to laplacetransform cos(1/4 t) is (16s)/(16s^2+1)