Evaluate for Theta Between 0 and 2pi

The video tutorial explains how to evaluate angles on the unit circle where the cosine of theta equals 1/2. It covers identifying the x-coordinate on the unit circle, finding angles in different quadrants, and using reflection to determine additional angles. The tutorial concludes with a summary of the angles found between 0 and 2π.

What does the cosine of an angle represent on the unit circle?

• The y-coordinate

• The x-coordinate

• The radius

• The angle itself

Which angle in the first quadrant has a cosine of 1/2?

• π/4

• π/3

• π/6

• π/2

How many angles between 0 and 2π have a cosine of 1/2?

• Four

• Three

• Two

• One

What is the second angle between 0 and 2π where the cosine is 1/2?

• 4π/3

• 5π/3

• 2π/3

• 3π/3

Why is it important that angles are positive and between 0 and 2π?

• To ensure they are within one full revolution

• To match the y-coordinate

• To make calculations easier

• To avoid negative values