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

Estimating sums, round to the nearest ten to estimate , 422+296

round to the nearest ten to estimate , 422+296

What is the length of one side of the square, The area of a square is 64 cm...

The area of a square is 64 cm 2 . What is the length of one side of the square? To find out the area of a square, you multiply the length of a side through itself, because all

Some important issue of graph, Some important issue of graph Before mov...

Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.

Find the total cost of the shop of arithmetic progressions, Raghav buys a s...

Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is

Geometyr, Lines EF and GH are graphed on this coordinate plane. Which point...

Lines EF and GH are graphed on this coordinate plane. Which point is the intersection of lines EF and GH?

Bill traveled 117 miles in 2.25 hours what was his average, Bill traveled 1...

Bill traveled 117 miles in 2.25 hours. What was his average speed? Use the formula d = rt (distance = rate × time). Substitute 117 miles for d. Substitute 2.25 hours for t and

Matrix addition and subtraction, What is Matrix addition and subtraction? I...

What is Matrix addition and subtraction? Illustrate the procedure of Matrix addition and subtraction.

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