Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points

This video tutorial teaches how to graph sinusoidal functions, focusing on sine and cosine. It explains the use of the unit circle, radians, and quadrants to plot these functions. The tutorial covers the periodic nature and amplitude of sine and cosine graphs, providing techniques for drawing them by hand. It also clarifies the notation used in trigonometric functions, emphasizing the importance of understanding the relationship between angles and their sine and cosine values.

What is the range of values that sine and cosine functions can take?

• Between -2 and 2

• Between -1 and 1

• Between -1 and 0

• Between 0 and 1

In which units is it more common to graph the angle theta for sinusoidal functions?

• Gradians

• Degrees

• Radians

• Turns

How does the sine graph behave as it moves through the quadrants?

• It forms a zigzag pattern

• It becomes a straight line

• It forms a circular pattern

• It repeats a wavy pattern

What is the phase difference between the sine and cosine functions?

• 45 degrees

• 90 degrees

• 180 degrees

• 270 degrees

What is the period of the sine and cosine functions?

• 4π

• 3π

• 2π

• π

What is the amplitude of the sine and cosine graphs?

• 0.5

• 1

• 2

• 1.5

In the function y = cosine(x), what does x represent?

• The angle in degrees

• The amplitude

• The y-coordinate

• The angle in radians