The superposition of these waves is given by: D(x,t)=D1(x,t)+D2(x,t)=A(sin(kx−ωt)+sin(kx+ωt)) We can use the following trigonometric...The superposition of these waves is given by: D(x,t)=D1(x,t)+D2(x,t)=A(sin(kx−ωt)+sin(kx+ωt)) We can use the following trigonometric identity to combine these into a single term: sinθ1+sinθ2=2sin(θ1+θ22)cos(θ1−θ22) The resulting wave is thus given by: \[\begin{aligned} D(x,t) &= 2A\sin\left(\frac{kx-\omega t + k…