Final answer:
The trigonometric function involves amplitude, midline, and period. These terms describe the properties of sinusoidal waves such as sine or cosine functions.
Step-by-step explanation:
The mathematical function that involves an amplitude, midline, and period is the c) Trigonometric function. These characteristics describe the properties of a sinusoidal wave, such as a sine or cosine function. The amplitude refers to the maximum absolute value from the midline to the peak of the wave, the midline is the horizontal line around which the wave oscillates, and the period is the distance over which the wave pattern repeats itself.
Mathematically expressing wave frequency in terms of wave period is given by f = 1/T, where 'f' stands for frequency and 'T' for period. The wavelength of a wave is directly proportional to its period when the wave speed is constant. To further illustrate, an equation for a sine wave could be y(x, t) = A sin(kx - ωt + φ), where 'A' represents amplitude, 'k' the wave number, 'ω' angular frequency, and 'φ' the phase shift. The wave speed 'v' can be calculated by v = ω/k and the period 'T' is equal to 2π/ω.