# Laplace transform of phase-shifted sinusoid

## Homework Statement

Find the laplace transform of [TEX]f(t)=sin(4t+\frac{\pi}{3})u(t)[/TEX].
http://img822.imageshack.us/img822/6996/codecogseqna.gif [Broken]

## Homework Equations

Definition of laplace transform, and properties: http://en.wikipedia.org/wiki/Laplace_transform#Properties_and_theorems"

## The Attempt at a Solution

I have a feeling that I need to use the time-shift property of the transform, but I need just a bit more direction on the strategy.

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$$f(t) = \left[ sin(4t)cos(\frac{\pi}{3}) + cos(4t)sin(\frac{\pi}{3}) \right] u(t).$$