You are going to have problems with Navigation if you have not learnt basic trig. Not sure if Laplace would get you anywhere (even if you did know it) since it is more for control theory and autopilots...and assumes you know a tadge more than basic trig...especially if you go negative and fall into the Fourier route....this is basic undergraduate stuff though.
I suggest you get some basic trig theory under your belt...enough for basic navigation with wind at least...doubt you will pass your basic training without it....Doubt you would pass an old UK "O" level without it either...but that is another story...