Write the following in the form u(t)=Rcos(ω₀t−δ) If you use the following figures, you won't need to do any algebra if you can recognize the angles and determine the length of the line segment (from the figure) indicating the various angles.
A.) u(t)=−2cos(2t)+2√3 sin(2t)= B.) u(t)=−2cos(2t)−2√3 sin(2t)= C.) u(t)=2cos(2t)−2√3 sin(2t)= D.) u(t)=2√3 cos(2t)−2sin(2t)= cos(t+1π/2)
In the above, all formulas have the same frequency and period. This frequency is and this period is 2π i Per the figures, all the formulas also have the same amplitude. This amplitude is The displacement = shift angle varies for the above, so we will leave that question for another problem.