# What is the amplitude of a sine function?

## What is the amplitude of 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.

### How do you find amplitude in trigonometry?

The amplitude of a trigonometric function is half the distance from the highest point of the curve to the bottom point of the curve: (Amplitude) = (Maximum) – (minimum) 2 . \text{(Amplitude)} = \frac{ \text{(Maximum) – (minimum)} }{2}. (Amplitude)=2(Maximum) – (minimum).

**How do you find amplitude from a graph?**

The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.

**What is the amplitude of a wave?**

amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

## How do you find the amplitude of Y Sinx?

Use the form asin(bx−c)+d a sin ( b x – c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| . Find the period using the formula 2π|b| 2 π | b | . The period of the function can be calculated using 2π|b| 2 π | b | .

### What is amplitude in trigonometry?

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine.

**What is an equation for a sine curve with amplitude 2?**

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 formula for amplitude of a wave?**

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 amplitude with example?

The definition of amplitude refers to the length and width of waves, such as sound waves, as they move or vibrate. How much a radio wave moves back and forth is an example of its amplitude. noun.