Evaluate the cosine of an angle using period as an aide

The video tutorial explains the concept of angles greater than 2π and introduces coterminal angles using 23π. It discusses how to calculate reference angles and the importance of the unit circle in determining coordinates. The tutorial also covers the cosine function in the fourth quadrant, emphasizing its positive value. The session includes practical examples and encourages students to practice these concepts.

What is the equivalent of a full circle in terms of π?

• 3π

• 8π

• 12π/6

• 6π

How can 23π be expressed using coterminal angles?

• 12π/6 + 11π/6

• 10π/6 + 13π/6

• 15π/6 + 8π/6

• 20π/6 + 3π/6

What is the reference angle for 11π/6?

• π/3

• π/4

• π/6

• π/2

What is the coordinate point for π/6 on the unit circle?

• (sqrt(3)/2, 1/2)

• (1/2, sqrt(3)/2)

• (1/2, 1/2)

• (sqrt(2)/2, sqrt(2)/2)

Is the cosine value positive in the fourth quadrant?

• Sometimes

• No

• Depends on the angle

• Yes