1. The problem statement, all variables and given/known data r(t)=cos(t)i+sin(t)j+sin(2t)k Find the curvature κ, the unit tangent vector T, the principal normal vector N and the binormal vector B at t=0. Find the tangential and normal components of the acceleration at t=∏/4 2. Relevant equations T(t)=r'(t)/|r'(t)| N(t)=T'(t)/|T't| B(t)=T(t)xN(t) κ=|(dT/ds|=|T'(t)|/|r'(t)|=|r'(t)xr''(t)|/|r'(t)|^3 3. The attempt at a solution I have tried every formula and attempted using double angle formulas and keep getting extremely messy and expressions that are getting too big and unwieldy to make sense. I've looked through my book repeatedly and tried using wolfram alpha and every resource I could think of and cannot find anything that covers how to handle only one trig function having a coefficient like that. So I'm at a loss and after spending 4 hours on this I'm just frustrated to the point of burn out and just need help getting started or seeing what I'm missing to make this work. Part of me is hoping that it's a typo while the other part will rage. So I don't know, I'm going to go cry in a corner now, thank you.