What is the period, frequency and amplitude of sine and cosine graphs

The video tutorial covers the properties and transformations of sine and cosine graphs. It explains the concepts of amplitude, period, and frequency, and how these are affected by transformations. The tutorial also discusses the equations used for graphing and the impact of different parameters on the graph's characteristics.

What is a key characteristic of both sine and cosine graphs?

• They do not repeat.

• They are unbounded.

• They have a maximum and minimum value.

• They are only defined for positive values.

What is the range of the parent function for sine and cosine graphs?

• 0 to 1

• -1 to 1

• -∞ to ∞

• 0 to ∞

How does the value of 'a' in the equation y = a * sin(BX - C) + D affect the graph?

• It reflects the graph over the y-axis.

• It shifts the graph horizontally.

• It affects the amplitude.

• It changes the period.

What does the amplitude of a sine or cosine graph represent?

• The half distance from the maximum to the minimum point.

• The distance from the maximum to the minimum point.

• The total height of the graph.

• The width of one cycle.

How is the period of a sine or cosine graph calculated?

• π divided by B

• 2π divided by the absolute value of B

• 2π times B

• B divided by 2π

What does the period of a sine or cosine graph indicate?

• The time it takes for the graph to complete one cycle.

• The number of cycles in a given interval.

• The height of the graph.

• The horizontal shift of the graph.

What does the frequency of a sine or cosine graph represent?

• The vertical shift of the graph.

• The time it takes for the graph to complete one cycle.

• The height of the graph.

• The number of cycles in a given interval.