Assume that two sinusoidal waves of the same frequency and amplitude are moving

Question

Assume that two sinusoidal waves of the same frequency and amplitude are moving through the same medium in the same direction. Under what condition is the amplitude of the resultant wave greater than the amplitude of the original wave(s)?

My notes: If there is an equation to go along with this, please provide it. That is the issue that I am having to even get started on working this problem. Also, please provide a drawing IF you need to use one or it would help me better understand. If not, no problem.

Thank You

Explanation / Answer

resultant amplitude will depend on phase difference between these two standing waves.

suppose phase difference is 90 degree then there is no change in amplitude.

suppose phase difference is 180 degree then amplitude almost disappear.

if phase is zero then amplitude will get double.

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