This problem has really got me stumped, and I thought that I had it solved, but I am guessing I had messed up somewhere. Any help would be much appreciated.
Given:
$$\mathrm{L}^{-1}\left(\frac{16s}{16s^2+1}\right)$$
The answer I initially got was $\cos\left(\frac{t}{16}\right)$, but that is incorrect.