Final answer:
The amplitude of a sinusoidal wave function is denoted as 'A' in its standard form, representing maximum displacement. The period, denoted as 'T', is calculated using the formula T = 2π / w, where 'w' is the angular frequency.
Step-by-step explanation:
To find the amplitude and period of a function, especially in the case of a sinusoidal wave, you should first ensure the wave function is in a standard form, which is usually y (x, t) = A sin (kx - wt + p), where 'A' represents the amplitude, and w is the angular frequency.
The amplitude of the wave is the coefficient denoted as A, which indicates the maximum displacement from the equilibrium position. To find the period of the wave, you use the angular frequency with the formula T = 2π / w, where T represents the time it takes for one complete cycle of the wave.
Finding these characteristics is crucial for understanding the wave's properties and behavior in various physical contexts.