How do you write an equation of the sine function with each amplitude and period?

How do you write an equation of the sine function with each amplitude and period?

1:393:43Write the equation of Sine or Cosine Given Amplitude and PeriodYouTubeStart of suggested clipEnd of suggested clipYou're going to go 2 pi divide it by 4 pi. And that gives you 1/2. So your Omega here is 1/2. AndMoreYou're going to go 2 pi divide it by 4 pi. And that gives you 1/2. So your Omega here is 1/2. And then you just write the X so there's your equation.

What is the amplitude in a sine function?

The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words, the amplitude is half the distance from the lowest value to the highest value.

What is the period and amplitude of a sine function?

y = A sin(B(x + C)) + D. amplitude is A. period is 2π/B.

How do you find amplitude with sin?

The amplitude of y=asin(x) and y=acos(x) represents half the distance between the maximum and minimum values of the function.

How do you write a sine function with amplitude and period and midline?

1:594:57Midline, amplitude and period of a function | Khan Academy – YouTubeYouTube

How do you write an equation for a sine function?

1:597:38Writing Equations for Sinusoidal Functions – YouTubeYouTube

How do you find the amplitude of Y Sinx?

0:090:59Finding the Period and Amplitude of a Sine Function – Quick ExampleYouTube

How do you find amplitude and period?

Finding the amplitude, period, and phase shift of a function of the form A × sin(Bx – C) + D or A × cos(Bx – C) + D goes as follows: The amplitude is equal to A ; The period is equal to 2π / B ; and. The phase shift is equal to C / B .

How do I calculate amplitude?

The amplitude is the distance between the centerline and the peak or trough. x = A sin (ωt + ϕ) or x = A cos (ωt + ϕ) is the formula….What is the Amplitude Formula?

  1. x = displacement of wave (meter)
  2. A = amplitude.
  3. ω = angular frequency (rad/s)
  4. t = time period.
  5. ϕ = phase angle.

Which of the following is a sine function which has amplitude 2 and period 4?

Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2).

How do you write a midline equation?

1:114:57Midline, amplitude and period of a function | Khan Academy – YouTubeYouTube

Which of the following is a sine function which has amplitude 2 and Period 4?

Answer: The equation for a sine curve with amplitude 2 and period 4 pi radians is f(x) = 2 sin(x/2).

What is the Y intercept of Y Sinx?

the y-intercept is 0 .

What is the period of y =- Sinx?

The extended sine graph sin(2π+x)=sinx. We say that the function y=sinx is periodic with period .

What is the period in a sine function?

The period of the sine function is ​​, which means that the value of the function is the same every 2π units.

What is period and amplitude?

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

How do you find the equation of a sine function?

3:407:23Determining the Equation of a Sine and Cosine Graph – YouTubeYouTube

How do you find y in a sine function?

0:425:58Y Intercept of Sine Function Q3 – YouTubeYouTube

How do you find the y value of a sine function?

Properties of the Sine Function, y=sin(x) The maximum value of y=sin(x) occurs when x=π2+2nπ , where n is an integer. The minimum value of y=sin(x) occurs when x=3π2+2nπ , where n is an integer.

How do you find the amplitude of Y sinx?

0:090:59Finding the Period and Amplitude of a Sine Function – Quick ExampleYouTube

What is the period of the graph of the equation y 2sin 4x?

2Π The period is and the amplitude is 1. Problem : What is the period and amplitude of the graph of the following function: y = 2 sin(4x)? The period is and the amplitude is 2.

How do you find a sine function?

To find the period of a sine wave with equation f(x) = sin(Ax), use the formula Period = 2pi/|A|. If |A| = 1, then the period of the sine wave is 2 pi.

How do you find the period and amplitude?

0:391:59Finding the Period and Amplitude of a Graph – YouTubeYouTube

How do u calculate period?

To calculate your menstrual cycle, count the days between your last few periods. Begin counting on the first day of your period to the day before your next period.Do this for a few cycles, and add up the total number of days, dividing it by the number of cycles.

How do you write an equation with amplitude period and phase shift?

Finding the amplitude, period, and phase shift of a function of the form A × sin(Bx – C) + D or A × cos(Bx – C) + D goes as follows: The amplitude is equal to A ; The period is equal to 2π / B ; and. The phase shift is equal to C / B .

How do you find sin?

0:512:48Trigonometry – Find the exact value of sin cos and tan – YouTubeYouTube

How do you find y in trigonometry?

1:507:23Trigonometry Basics : how to find missing sides and angles easily (6 …YouTube

What is the y-intercept in a sine function?

0:105:58Y Intercept of Sine Function Q3 – YouTubeYouTube

How do we find the value of sin?

Now as per sine, cosine and tangent formulas, we have here:

  1. Sine θ = Opposite side/Hypotenuse = BC/AC.
  2. Cos θ = Adjacent side/Hypotenuse = AB/AC.
  3. Tan θ = Opposite side/Adjacent side = BC/AB.

What is the amplitude of y =- 2sin 4x?

The period is 2Π and the amplitude is 1. Problem : What is the period and amplitude of the graph of the following function: y = 2 sin(4x)? The period is and the amplitude is 2.