0
What is the trig function of sin with a period of pi an amplitude of 1 and a vertical shift up of 1?
If this is a homework question, please consider trying to answer it on your own first, otherwise the value of reinforcement of the lesson will be lost on you.
To determine the trigonometry function of sin, with a period of pi, and amplitude of 1, and a vertical shift of +1, start simple and expand.
The period of sin(x) is 2 pi, so to halve that period you need sin(2x).
The amplitude of sin(2x) is 2, so to halve that amplitude you need 1/2 sin(2x).
To shift any function up by 1, simply add 1 to it, so the final answer is 1/2 sin(2x) + 1.
Note: This is very simple when you take it step by step.
What else can I help you with?
What is phase shift when a sine wave with the maximum amplitude at time zero?
360 degrees
What is the similarities between a sine graph and a cosine graph?
Both sine and cosine graphs are periodic functions with a periodicity of (2\pi), meaning they repeat their values every (2\pi) radians. They both have an amplitude of 1, oscillating between -1 and 1. Additionally, the sine graph is a horizontal shift of the cosine graph; specifically, the cosine graph can be expressed as the sine graph shifted to the left by (\frac{\pi}{2}) radians. Both graphs exhibit similar shapes, featuring smooth, continuous waves.
Sin x degrees equals 4 over 15 what would the value of x be?
x = sin-1 (4/15) ( sin -1 is [SHIFT] [sin] on a calculator ) = 15.5
What does being turned around mean?
Being "turned around" typically refers to a situation where someone or something undergoes a significant change in direction or perspective. This can apply in various contexts, such as personal growth, where an individual may shift their mindset or behavior, or in business, where a struggling company finds new strategies to improve performance. The phrase suggests a movement from a negative or stagnant state to a more positive or dynamic one.
What is the difference between north east trade winds and retreating mansoon?
The northeast trade winds are persistent winds that blow from the northeast toward the equator, primarily affecting tropical regions and contributing to consistent weather patterns. In contrast, the retreating monsoon refers to the seasonal reversal of winds in South Asia, where the southwest monsoon winds diminish and shift, leading to a transition from wet to dry conditions. While the trade winds are consistent and year-round, the retreating monsoon is a seasonal phenomenon that marks the end of the monsoon season.
Y12sinx 3.14 What is the amplitude period and phase shift?
Y=12sin(x(pi)) amplitude= 12 period = 2 phase shift = none or 0 vertical shift = none or 0
Write an equation of the cosine function with amplitude two thirds period 1.8 phase shift -5.2 and vertical shift 3.9?
y=2/3cos(1.8b-5.2)+3.9
What is a vertical shift?
A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.
What impact does the vertical shift have on the range of a function?
None.
What is the equation of a sine wave?
The equation of a sine wave is y A sin(Bx C) D, where A represents the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
What is the term called when you shift a fuction?
When you shift a function horizontally or vertically without changing its shape or orientation, it is called a translation. This can be done by adding or subtracting a constant to the function's input (horizontal shift) or output (vertical shift).
What happens to the function when the phase shift increases?
When the phase shift of a function, particularly in trigonometric functions like sine or cosine, increases, the entire graph of the function shifts horizontally along the x-axis. An increase in the phase shift moves the graph to the left if the phase shift is negative (subtracting) or to the right if the phase shift is positive (adding). This alteration does not affect the amplitude or frequency of the function; it simply changes the starting point of the oscillation.
How do you convert a sine curve function to a cosine curve function?
One way is to shift it to the left by a quarter of the period.
How to find the equation of a sine wave?
To find the equation of a sine wave, you need to know the amplitude, period, and phase shift of the wave. The general form of a sine wave equation is y Asin(B(x - C)), where A is the amplitude, B is the frequency (related to the period), and C is the phase shift. By identifying these values from the given information or graph, you can write the equation of the sine wave.
What is amplitude shift keying modulation?
micxingthe between the phasr and frepaancy shift keying
What is Amplitude shift keying ASK?
Form of modulation that represents digital data as variations in the amplitude of a carrier wave Follow this link to get exact idea of Amplitude Shift Keying (ASK) http://www.circuitsgallery.com/2012/05/binary-amplitude-shift-keying-bask-or.html
When you shift a function you are it?
When you shift a function, you are essentially translating its graph either horizontally or vertically. A horizontal shift alters the input values, moving the graph left or right, while a vertical shift changes the output values, moving the graph up or down. This transformation maintains the shape of the graph but changes its position in the coordinate plane. Shifting does not affect the function's overall behavior or characteristics, such as its domain and range.
