How to find the point on the unit circle from the given real number

The video tutorial explains how to find specific points on the unit circle using trigonometric identities. It covers breaking down the circle into quadrants, calculating points like 5π/4 and 11π/6, and emphasizes the importance of memorizing key points such as 0, π/2, π, and 3π/2. The tutorial provides a step-by-step approach to understanding and using the unit circle effectively.

What is the coordinate of the angle 5π/4 on the unit circle?

• (0, 1)

• (√2/2, √2/2)

• (1, 0)

• (-√2/2, -√2/2)

How is the unit circle divided to find the angle 11π/6?

• Into quarters

• Into sixths

• Into eighths

• Into halves

What is the coordinate of the angle 11π/6 on the unit circle?

• (1/2, √3/2)

• (-1, 0)

• (√3/2, -1/2)

• (0, -1)

Which of the following is the coordinate for π/2 on the unit circle?

• (-1, 0)

• (0, 1)

• (1, 0)

• (0, -1)

What is the coordinate for 3π/2 on the unit circle?

• (0, 1)

• (1, 0)

• (-1, 0)

• (0, -1)