Important parts of a trigonometric function

The video tutorial covers the characteristics of trigonometric graphs, focusing on sine and cosine functions. It explains the concepts of amplitude and period, detailing how they affect the graph's shape and cycle. The tutorial also discusses how to determine the starting and ending points of a graph, considering shifts and alterations. Finally, it highlights the importance of identifying key points like intercepts, maximums, and minimums for effective graphing.

What does the amplitude of a trigonometric graph represent?

• The frequency of the graph

• The horizontal shift of the graph

• The vertical stretch or compression of the graph

• The starting point of the graph

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

• By dividing 2π by B

• By subtracting B from 2π

• By multiplying 2π by B

• By adding B to 2π

What is the significance of the value B in the equation of a trigonometric graph?

• It affects the period of the graph

• It determines the amplitude

• It shifts the graph vertically

• It changes the graph's starting point

How can you determine the starting and ending points of a trigonometric graph?

• By setting BX - C = 0 and BX - C = 2π

• By finding the maximum and minimum values

• By using the unit circle

• By calculating the amplitude

Why is it useful to divide the period of a trigonometric graph by 4?

• To calculate the graph's vertical shift

• To identify key points like intercepts, maxima, and minima

• To determine the graph's frequency

• To find the graph's amplitude