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Sal introduces the main features of sinusoidal functions: midline, amplitude, & period. He shows how these can be found from a sinusoidal function's graph.
For instance, let’s compare two sinusoidal waves: The red wave completes ω = 2 cycles per second, while the blue wave completes ω = 4 cycles per second. As a result, the blue wave has a higher angular frequency than the red wave (ω*>ω). In one second, the blue wave covers more radians.
13 Φεβ 2022 · Frequency is a different way of measuring horizontal stretch. For sound, frequency is known as pitch. With sinusoidal functions, frequency is the number of cycles that occur in 2π 2 π. A shorter period means more cycles can fit in 2π 2 π and thus a higher frequency.
For objects that exhibit periodic behavior, a sinusoidal function can be used as a model since these functions are periodic. To determine a sinusoidal function that models a periodic phenomena, we need to determine the amplitude, the period, and the vertical shift for the periodic phenomena.
amplitude is A. period is 2π/B. phase shift is C (positive is to the left) vertical shift is D. And here is how it looks on a graph: Note that we are using radians here, not degrees, and there are 2 π radians in a full rotation. Example: sin (x) This is the basic unchanged sine formula. A = 1, B = 1, C = 0 and D = 0.
A wave is described by y = (2.05 cm) sin(kx - t), where k = 2.13 rad/m, = 3.58 rad/s, x is in meters, and t is in seconds, how do you determine the amplitude, wavelength, frequency, and speed of the wave?
Course: Algebra 2 > Unit 11. Lesson 7: Transforming sinusoidal graphs. Amplitude & period of sinusoidal functions from equation. Transforming sinusoidal graphs: vertical stretch & horizontal reflection. Transforming sinusoidal graphs: vertical & horizontal stretches. Amplitude of sinusoidal functions from equation. Midline of sinusoidal ...
