Evaluate for theta between 0 and 2pi

The video tutorial explains how to evaluate the angle Theta when given a coordinate point, specifically focusing on the cosine value of -√2/2. The instructor emphasizes the importance of understanding the unit circle, particularly the first quadrant, to solve such problems. The tutorial details how cosine represents the X value and identifies angles where the cosine is negative, specifically at 3π/4 and 5π/4.

What is the range of angles considered when evaluating Theta in this problem?

• 0 to 3π/2 or 0 to 270 degrees

• 0 to π/2 or 0 to 90 degrees

• 0 to 2π or 0 to 360 degrees

• 0 to π or 0 to 180 degrees

What does the cosine function represent on the unit circle?

• The Y value

• The angle in degrees

• The radius

• The X value

At which angle is the X value equal to sqrt(2)/2 on the unit circle?

• π/2

• π/4

• 3π/4

• 5π/4

Which angles have a cosine value of -sqrt(2)/2?

• π and 2π

• π/2 and π

• 3π/4 and 5π/4

• π/4 and 3π/4

How many points on the unit circle have a negative cosine value?

• 1

• 2

• 3

• 4