The video tutorial guides viewers through setting up a graphing tool for trigonometric functions, adjusting axes for better visibility, and plotting the sine function. It explores trigonometric ratios and transformations, using sliders to manipulate variables, and explains horizontal and vertical shifts in graphs. The tutorial emphasizes understanding the relationship between sine and cosine functions through graph shifts.

What is the first step in setting up the trigonometric graph display?

• Enable projector mode

• Change the graph color

• Adjust the domain and range

• Switch to radians mode

What effect does enabling projector mode have on the graph?

• It makes the graph appear thinner

• It changes the graph's color

• It makes the graph appear bolder

• It rotates the graph

What is the purpose of adding a slider to the sine graph?

• To change the graph's color

• To zoom in and out of the graph

• To adjust the graph's thickness

• To manipulate the graph's horizontal shift

What is the range of the slider initially set to?

• -360 to 360

• 0 to 180

• 0 to 360

• -10 to 10

What is the significance of the 15-degree step in the slider?

• It reduces calculation errors

• It simplifies the graph

• It matches the projector mode setting

• It aligns with common angle values

How does a positive horizontal shift affect the graph's position?

• Moves it to the left

• Moves it upwards

• Moves it downwards

• Moves it to the right

What is a common reference used to understand graph shifts?

• Circles

• Linear equations

• Ellipses

• Parabolas

What happens to the sine graph when it is shifted by 90 degrees?

• It becomes a quadratic graph

• It becomes a cosine graph

• It becomes a tangent graph

• It becomes a linear graph

What is the relationship between sine and cosine graphs when shifted?

• They are inverses

• They are translations

• They are identical

• They are reflections

What is the main topic of the final section?

• Understanding radians

• Graphing parabolas

• Sine to cosine transformation

• Using sliders effectively