Discussion

Laplace transform of function f(t)=cos(wt) is

Answer: C

The standard transform pair is

\[ \mathcal{L}\{\cos \omega t\} = \frac{s}{s^{2}+\omega^{2}} \]

while its companion is

\[ \mathcal{L}\{\sin \omega t\} = \frac{\omega}{s^{2}+\omega^{2}} \]

The denominators are identical; only the numerator distinguishes them - \( s \) for cosine, \( \omega \) for sine.

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