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

Tags

CCSS.HSF.TF.A.2

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

• Y-coordinate

• Z-coordinate

• W-coordinate

• X-coordinate

Tags

CCSS.HSF.TF.A.2

What is the cosine value at 0 radians?

• 0

• 1

• -1

• 0.5

Tags

CCSS.HSF.TF.A.2

At which angle is the cosine value -1?

• 3π/2 radians

• 0 radians

• π/2 radians

• π radians

Tags

CCSS.HSF.TF.A.2

What is the cosine value at 2π radians?

• -1

• 1

• 0

• 0.5

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CCSS.HSF.TF.A.4

What is the period of the cosine function?

• 4π

• 3π

• 2π

• π

Tags

CCSS.HSF.TF.A.2

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

• 0.866

• 1

• 0.7

• 0.5

Tags

CCSS.HSF.TF.A.2

What is the cosine value at π/4 radians?

• 0.5

• 0.7

• 0.866

• 1

Tags

CCSS.HSF-IF.C.7E

How does the cosine graph behave between key points?

• Linear

• Curved

• Zigzag

• Constant

Tags

CCSS.HSF.TF.A.2

What is the cosine value at π/3 radians?

• 0.866

• 1

• 0.5

• 0.7

Tags

CCSS.HSF.TF.A.2