Graphing Trigonometric Functions

This video tutorial demonstrates how to graph the trigonometric functions cosine, sine, and tangent using Desmos. It covers setting up Desmos in degree mode, adjusting the axes, and graphing each function over a specified interval. The tutorial explains the characteristics of each function, including their periods, maximum and minimum values, and key points. It also discusses the differences between the functions and how to identify vertical asymptotes for the tangent function.

What is the first step to switch the calculator to degree mode in Desmos?

• Click the wrench icon and select 'Radians'

• Click the wrench icon and select 'Degrees'

• Click the settings icon and select 'Radians'

• Click the settings icon and select 'Degrees'

What is the period of the cosine function when graphed from 0 to 360 degrees?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

Which of the following is the correct pattern for the cosine function over one period?

• Midline, Minimum, Midline, Maximum, Midline

• Midline, Maximum, Midline, Minimum, Midline

• Maximum, Midline, Minimum, Midline, Maximum

• Minimum, Midline, Maximum, Midline, Minimum

How does the sine function differ from the cosine function in terms of its pattern?

• It starts at the midline

• It starts with a vertical asymptote

• It starts with a minimum value

• It starts with a maximum value

What is the period of the sine function?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

What is the period of the tangent function?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

Why does the tangent function have vertical asymptotes?

• Because tangent is zero

• Because the graph is horizontal

• Because cosine is zero

• Because sine is zero

At which points is the tangent function undefined?

• Where the graph is horizontal

• Where tangent is zero

• Where cosine is zero

• Where sine is zero

What adjustment can be made to better view the tangent graph?

• Change the graph style

• Change the graph color

• Change the y-axis interval

• Change the x-axis interval

What is a key characteristic of the tangent function compared to sine and cosine?

• It has a period of 360 degrees

• It has a maximum value of 1

• It has a minimum value of -1

• It has no maximum or minimum values