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

Bricklayer estimates 6.5 how many bricks will he required, A bricklayer est...

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

Equivalent fractions and area models, Need two equal fractions multiply an...

Need two equal fractions multiply and divide 1/6 3/4 5/15 2/7 20/25 24/36 4/9

Linear relations, determine the equation that represent the following lines...

determine the equation that represent the following lines be sure to define your variable and show all of your work

Volume, a data set has a mean of 3, a median of 4, and a mode of 5.which nu...

a data set has a mean of 3, a median of 4, and a mode of 5.which number must be in the data set-3,4,5?

Matrices, problem faced by students

problem faced by students

Min Problem, I need help solving this question...You have to design a recta...

I need help solving this question...You have to design a rectangular flyer. The top and bottom must have 5" margins and the left and right sides must have 2" margins. If you must

Solve the fractional equation, Solve the fractional equation: Example...

Solve the fractional equation: Example: Solve the fractional equation 1/(x-2) +1/(x+3) =0 Solution: The LCD is (x - 2)(x + 3); therefore, multiply both sides of t

Principle of superposition, If y 1 (t) and y 2 (t) are two solutions to a...

If y 1 (t) and y 2 (t) are two solutions to a linear, homogeneous differential equation thus it is y (t ) = c 1 y 1 (t ) + c 2 y 2 (t )   ........................(3) Remem

Determining Proportionality, Assume Jim had executed 15 "Splits" before his...

Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05, what was the average time for one of his earlier splits?

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