Final answer:
Euler's formula, e^id = cos(p) + i sin(p), is used to represent complex exponential functions in terms of trigonometric functions.
Step-by-step explanation:
Euler's formula is written as eid = cos(p) + i sin(p), where A is the amplitude, k is the wave number, and ω is the angular frequency. This equation is used to represent complex exponential functions in terms of trigonometric functions. For example, if we have a wave function Ÿ(x, t) = Aei(kx-ωt), we can rewrite it as Ÿ(x, t) = Aeid.