Evaluate for cosine of an angle on the unit circle larger than 2pi

The video tutorial explains how to work with angles in a circle, focusing on simplifying angles like 12π/6 and 11π/6. It discusses the concept of reference angles and how to determine the quadrant of an angle. The tutorial concludes by calculating the cosine of an angle using reference angles and understanding the properties of the unit circle.

What does 2π represent in terms of a circle?

• Halfway around the circle

• A full revolution around the circle

• Three-quarters of the circle

• A quarter of the circle

How can 23π/6 be simplified in terms of the unit circle?

• It is equivalent to 5π/6

• It is equivalent to 3π/2

• It is equivalent to 11π/6

• It is equivalent to 2π

What is the reference angle for 11π/6?

• π/2

• π/6

• π/4

• π/3

In which quadrant is the angle 11π/6 located?

• 4th quadrant

• 2nd quadrant

• 1st quadrant

• 3rd quadrant

What is the cosine of 11π/6?

• -1/2

• -sqrt(3)/2

• sqrt(3)/2

• 1/2