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## Homework Statement

I'm working on some Differential Equations homework and I'm stuck.

The question is apply the translation theorem to find the Laplace transform.

f(t) = e^(-t/2)cos2(t-1/8π)

I know how to apply the method, I just need to figure out how to transform the cosine function. (I think)

The answer should be: √(2) (2s+5)/(4s²+4s+17)

## Homework Equations

L{f(t)*e^at)} = f(s-a)

## The Attempt at a Solution

I'm completely stuck on how to transform cos2(t-1/8π).