Reference Angles and Unit Circle

The video tutorial explains how to find the reference angle for 4π/3. It begins by graphing the angle and identifying its position relative to key angles like π and 3π/2. The concept of a reference angle is introduced, emphasizing that it is always positive and formed by the terminal side of the angle and the x-axis. The tutorial then demonstrates how to calculate the reference angle for 4π/3, which is π/3, by considering the additional angle needed to reach 4π/3 from π.

What is the main objective of the problem discussed in the video?

• To calculate the sine of 4π/3

• To determine the cosine of 4π/3

• To find the reference angle for 4π/3

• To find the tangent of 4π/3

Which angle is located at the top of the unit circle?

• π

• 3π/2

• π/2

• 2π

Which angle is directly opposite to 4π/3 on the unit circle?

• π/3

• 2π/3

• 5π/3

• π

What is the angle at the bottom of the unit circle?

• π/2

• 3π/2

• 2π

• π

What is the angle at the right side of the unit circle?

• 0

• π/2

• π

• 3π/2

What is the angle at the left side of the unit circle?

• π

• 3π/2

• 0

• π/2

What is the angle at the top of the unit circle?

• π/2

• π

• 3π/2

• 0

How is π represented in terms of thirds?

• 5π/3

• 4π/3

• 3π/3

• 2π/3

How is 4π/3 positioned relative to π on the unit circle?

• It is 2π more than π

• It is equal to π

• It is π/3 less than π

• It is π/3 more than π

Which angle is equivalent to 3π/3?

• 2π/3

• π

• 5π/3

• 4π/3