Table of Contents
What is the general equation of a sinusoidal function?
A general sinusoidal function is of the form y=A\sin(B(x-h))+k or y=A\cos(B(x-h))+k.
What are the components to a sinusoidal function?
Midline, amplitude, and period are three features of sinusoidal graphs.
What is the formula for the period of a sinusoidal function?
To find the period of a sine wave with equation f(x) = sin(Ax), use the formula Period = 2pi/|A|. If |A| = 1, then the period of the sine wave is 2 pi.
What does a represent in a sinusoidal function?
The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height). The amplitude (half the distance between the maximum and minimum values of the function) will be |A|, since distance is always positive.
What are the 3 characteristics of sine wave?
Sinusoidal Amplitude, Frequency, and Phase The three characteristics that separate one sinusoid from another are amplitude, frequency, and phase.
What are the three parameters that represent a general sine wave?
A sine wave can be represented by three parameters: the peak amplitude, the frequency, and the phase.
What is an equation for a sine curve with amplitude 2?
Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2).
What is an equation for a graph?
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.
What 3 parameters must be defined in a mathematical expression for a sinusoid?
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.
What defines a sinusoidal function?
A sinusoidal function is one with a smooth, repetitive oscillation. “Sinusoidal” comes from “sine”, because the sine function is a smooth, repetitive oscillation. Examples of everyday things which can be represented by sinusoidal functions are a swinging pendulum, a bouncing spring, or a vibrating guitar string.
What are its properties of sinusoid?
The sinusoid (i.e., A cos(ωt+θ)) is a unique signal with a number of special properties. A sinusoid can be completely defined by three values: its amplitude A, its phase θ, and its frequency ω (or 2πf).
What is sinusoidal sequence?
A sinusoidal sequence is the fundamental periodic signal having just one single frequency.
What is the amplitude of this sinusoidal function?
The amplitude of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.
What is the general equation of a sine function with an amplitude of 2?
How to create a sinusoidal function?
sin(-x)=-sin(x) – the graph of sine is odd, meaning that it is symmetric about the origin; Graphing sinusoids. Most applications cannot be modeled using y=sin(x), and require modification. The equation below is the generalized form of the sine function, and can be used to model sinusoidal functions. y = A·sin(B(x-C)) + D
How do I find the equation of a sinusoidal graph?
– “A” is the amplitude. – “B” is the period, so you can elongate or shorten the period by changing that constant. – “C” is the phase shift (the horizontal shift ). – “D” is the vertical shift. The line y = D – A is where the graph is at a minimum, and y = D + A is where the graph
How do you write a linear equation for a function?
Different Forms. There are many ways of writing linear equations,but they usually have constants (like “2” or “c”) and must have simple variables (like “x” or “y”).
What are the functions of linear equations?
m = the slope,