1. The problem statement, all variables and given/known data I am trying to solve the textbook questions, but the steps are not shown--any suggestions would be appreciated!: 1) Verify that x(t) = Asin (wt) + B cos(wt), where w = (k/m)1/2 is a solution to Newton's equation for a harmonic oscillator. 2) Verify that x(t) = Csin(wt + Φ) is a solution to Newton's equation for a harmonic oscillator. 2. Relevant equations Given above... 3. The attempt at a solution 1) I only have a faint idea, but don't know where to progress..... 2) I think I am going in a right direction, but don't know if it is of "ENOUGH" verification: sin(wt +Φ) = sin(wt)cosΦ + cos(wt)sinΦ, which I put into the x(t) function: x(t) = Csin(wt)cosΦ + Ccos(wt)sinΦ = c1sin(wt) + c2cos(wt) ∴ c1= CcosΦ c2= CsinΦ ...do I need further proof?