Is crest and trough height equal?

In a wave, the crest and trough heights are not equal; they represent opposite extremes of the wave's displacement. The crest is the highest point, while the trough is the lowest point. The distance from the equilibrium position to the crest is called the amplitude, and it is the same for the trough, making the amplitude equal in both directions but not the heights themselves. Thus, while the amplitudes are equal, the actual heights of the crest and trough differ in value.