Question:medium

\( \mathcal{L}\{ \sin(t-3)u(t-3) \ = \)}

Show Hint

The unit step multiplier \( u(t-a) \) always transforms into an exponential factor \( e^{-as} \) in the \(s\)-domain. Once you factor that out, you only need to compute the standard transform of the unshifted function.
Updated On: Jul 9, 2026
  • \( \frac{1}{s^2 + 1} \)
  • \( \frac{3}{s^2 + 9} \)
  • \( \frac{e^{-3s}}{s^2 + 1} \)
  • \( \frac{e^{-3s}}{s^2 + 9} \)
Show Solution

The Correct Option is C

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