I am stuck with a basic concept.How do we can recognize if a given equation is wave or not?For example we know that the standing waves equation is y=2Acos(kx)sin(ωt). In my text book there is a problem which says that two waves having only different amplitudes are traveling on opposite directions on x-axis. They have asked if the waves form standing waves.
The Attempt at a Solution
First of all i wrote the following equations.
y1=A1sin(kx-ωt) ; y1=A2sin(kx+ωt)
i added them and got
how do i recognize if this equation represents a standing wave or not??