Understanding Cosine Values and Concepts

The video tutorial transitions from the sine curve to the cosine curve, using the unit circle to graph the cosine curve. It demonstrates how to calculate cosine values using a calculator and explains a trick to verify these values. The tutorial emphasizes understanding over shortcuts and guides viewers through plotting cosine values on a graph, highlighting the relationship between angles and their cosine values on the unit circle.

What is the primary tool used to graph the cosine curve?

• A calculator

• A protractor

• The unit circle

• A ruler

What is the decimal approximation of cos(45°) when calculated using a calculator?

• 0.9

• 0.7

• 0.5

• 1.0

What mathematical operation can be used to verify the cosine value of an angle?

• Addition

• Squaring

• Subtraction

• Division

In the context of the unit circle, what does the cosine of an angle represent?

• The x-coordinate

• The radius

• The circumference

• The y-coordinate

What is the cosine of 0 degrees?

• 0.5

• 1

• -1

• 0

What is the cosine of 90 degrees?

• 1

• 0.5

• -1

• 0

What is the cosine of 180 degrees?

• 0.5

• 0

• -1

• 1

What is the cosine of 270 degrees?

• -1

• 1

• 0.5

• 0

What is the cosine of 360 degrees?

• 0

• -1

• 0.5

• 1

What is the cosine of 135 degrees?

• 1/√2

• -1/√2

• 0

• -1