I think i found a way to solve it so if i make two vectors where A1 and A2 is the module of each vector I just have to sum them and then find the angle of the resulting vector.
Where θ1=k1x-w1t
θ2=k2x-w2t
u1=A1cosθ1
u2=A2cosθ2
And alfa=(θ1-θ2)/2+θ2=θ1+θ2/2
Expresing in terms of A=√A21+A22
I arrive to the expresion
u(x,t)=(A/sinθ)(tan(θ)cos(k1x+w1t)+cos(k2x+w2t)) I dont see how it can help :/ but thanks
Maybe I can prove that theres a Amplitude modulation without merging the cos
Homework Statement
Hi
Two wave superposition with different wavelength , amplitude and frequency
u1(x,t)=A1cos(k1x+w1t)
u2(x,t)=A2cos(k2x+w2t)
a)Show that an amplitude modulation is obtained
Homework Equations
No relevant equations
The Attempt at a Solution...