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

Evaluating functions, Next we have to talk about evaluating functions.  Eva...

Next we have to talk about evaluating functions.  Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

the jetstream''s speed, A passenger jet took 3 hours to fly 1800 km in the...

A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the

Show that a, If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are ...

If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans:    Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ

Derivatives of inverse trig function, Derivatives of Inverse Trig Functions...

Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required t

Calculate the amount of money a person has left after death, When Ms. Jones...

When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan.  She then invested this sum in an annuity account that would pay her an equal amount at the end

Determine the probability - conditional probability, A bag of 28 tulip bulb...

A bag of 28 tulip bulbs contains 12 red tulip bulbs, 9 yellow tulip bulbs, and 7 purple tulip bulbs. Two bulbs are selected without replacement. Determine, a) The probability th

Spring force, Spring, F s We are going to suppose that Hooke's Law wil...

Spring, F s We are going to suppose that Hooke's Law will govern the force as the spring exerts on the object. This force will all the time be present suitably and is F s

Differential equations, Verify Liouville''s formula for y "-y" - y'' + y = ...

Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?

Sketch the feasible region, Sketch the feasible region for the following se...

Sketch the feasible region for the following set of constraints: 3y - 2x  ≥ 0 y + 8x  ≤  53 y - 2x  ≤  2 x  ≥ 3. Then find the maximum and minimum values of the objective

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