Answer:
The equation for such type of wave is [tex]D_2 = sin(0.84.x + 47t + 21)[/tex]
Explanation:
From the question we are told that
The displacement is [tex]D_1 = 4.2sin(0.84.x - 47t + 21)[/tex]
Here the wave number is k= 0.84
The angular frequency is [tex]w = 47[/tex]
The phase shift is [tex]\phi = 21[/tex]
Generally the equation that represents a wave which, when traveling in the opposite direction, will produce a standing wave when added to this one is mathematically represented as
[tex]D_2 = sin(0.84.x + 47t + 21)[/tex]