Understanding Cosine Values and Properties

The video tutorial explains how to graph the cosine function by setting up the x and y axes, using the unit circle to identify key points, and plotting these points to form the cosine curve. It highlights the periodic nature of the cosine function and explores intermediate values for a more detailed understanding of the curve's shape.

What is the range of values labeled on the y-axis for graphing the cosine function?

• -2 to 2

• 0 to 1

• 1 to -1

• 0 to 2π

Which coordinate of the unit circle is used to determine the cosine values?

• Y-coordinate

• Z-coordinate

• W-coordinate

• X-coordinate

What is the cosine value at 0 radians?

• 0

• 1

• -1

• 0.5

At which angle is the cosine value -1?

• 3π/2 radians

• 0 radians

• π/2 radians

• π radians

What is the cosine value at 2π radians?

• -1

• 1

• 0

• 0.5

What is the period of the cosine function?

• 4π

• 3π

• 2π

• π

What is the approximate decimal value of cosine at π/6?

• 0.866

• 1

• 0.7

• 0.5

What is the cosine value at π/4 radians?

• 0.5

• 0.7

• 0.866

• 1

How does the cosine graph behave between key points?

• Linear

• Curved

• Zigzag

• Constant

What is the cosine value at π/3 radians?

• 0.866

• 1

• 0.5

• 0.7