# How do you find the amplitude of a sine function?

## How do you find the amplitude of a sine function?

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. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

How do you find the domain of a sine function?

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

What is the amplitude of the standard sine function?

The amplitude of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

### What is the amplitude of this graph?

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 the range of a sine graph?

The range of the sine function is from [-1, 1]. The period of the tangent function is π, whereas the period for both sine and cosine is 2π.

What is an 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. For a longitudinal wave, such as a sound wave, amplitude is measured by the maximum displacement of a particle from its position of equilibrium.

#### How do you measure amplitude of a function?

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. The Phase Shift is how far the function is shifted horizontally from the usual position. The Vertical Shift is how far the function is shifted vertically from the usual position.

Which is the domain of a sin graph?

The domain of a function is the set of input values for which the function is real and defined. Domain restriction used for the SIN Graph to display ONE complete cycle. The set of output values (of the dependent variable) for which the function is defined. As you can easily observe, the SIN graph goes up until 1 and goes down until −1

How does the amplitude relate to the period?

The Period goes from one peak to the next (or from any point to the next matching point): The Amplitude is the height from the center line to the peak (or to the trough).

## Which is an example of an unchanged sine formula?

Example: sin (x) This is the basic unchanged sine formula. A = 1, B = 1, C = 0 and D = 0 So amplitude is 1, period is 2π, there is no phase shift or vertical shift: