Define period, amplitude and phase shift, Mathematics

Assignment Help:

Q. Define Period, Amplitude and Phase Shift?

Ans.

Period, amplitude and phase shift are used when describing a sinusoidal curve

The period of a function is the smallest number p for which f( x + p) = f(x) for each x for which is defined.

1872_Define Period Amplitude and Phase Shift.gif

The function sin(x) repeats every degrees, sin (x +) = sin(x). It is also clear by the graph that 2p is the smallest number for which this is true. The period of sin(x) is 2Π.

The amplitude of a sinusoidal wave is the distance from the central axis (the x-axis in this case) and the maximum or minimum value of the wave.

1268_Define Period Amplitude and Phase Shift1.gif

The phase shift of a curve is the shift, left or right, of the base curve.

770_Define Period Amplitude and Phase Shift2.gif


Related Discussions:- Define period, amplitude and phase shift

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Rounding, what is the nearest ten thousand of 92,892?

what is the nearest ten thousand of 92,892?

Geometric , a part of a line with two end points.

a part of a line with two end points.

How many dollars did they raise the first two days, The freshman class is p...

The freshman class is participating in a fundraiser. Their target is to raise $5,000. After the first two days of the fundraiser, they have raised 32 percent of their goal. How man

A single student is selected at random, The scores of students taking the A...

The scores of students taking the ACT college entrance examination are normally distributed with a mean µ = 20.1 and a standard deviation σ = 5.8. a)    A single student is sele

Analyze the dynamic path - difference equation, One of the well-known class...

One of the well-known class of models that involve a simple difference equation are models of mean reversion. These models typically take the form yt+1 - yt = -a(yt - μ)where 0

Calculate overhead in bit and time-synchronous communication, 2.    Suppose...

2.    Suppose a file of 35,000 characters is to be sent over a line at 55,000bps. 1. Calculate the overhead in bits and time using asynchronous transmission. Assume 1 start bit

Pattern, 1,5,14,30,55 find the next three numbers and the rule

1,5,14,30,55 find the next three numbers and the rule

Compound interest, you have RM5O,OOO to invest,and two fund that you''d li...

you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd