How do you find the amplitude of the sine and cosine graph

The video tutorial explains the concept of amplitude in the context of music and mathematics. It begins by introducing amplitude and its relevance to sound and music. The tutorial then defines amplitude as the half distance between the minimum and maximum values of a graph. It demonstrates how to determine amplitude using sine and cosine graphs, emphasizing that the amplitude is the absolute value of the coefficient in the function's equation. Examples are provided to illustrate how to calculate amplitude for different functions, concluding with a reminder that amplitude is unaffected by negative coefficients.

How is amplitude related to music and math?

• It is the speed of sound waves.

• It is the frequency of sound waves.

• It is the half distance between the maximum and minimum values of a graph.

• It is the total distance covered by a sound wave.

What is the amplitude of a sine or cosine graph with a maximum value of 1 and a minimum value of -1?

• 0.5

• 2

• 0

• 1

In the standard form of a sine function, what does the coefficient 'a' represent?

• The frequency of the function

• The phase shift of the function

• The amplitude of the function

• The vertical shift of the function

What is the amplitude of the function y = 1/4 sin(x)?

• 1/4

• 0

• 1

• 4

If a cosine function has a coefficient of -8, what is its amplitude?

• -8

• 8

• 0

• 16