What is the unit circle and how do you find points on the unit circle

The video tutorial explains the concept of the unit circle, starting with its basic equation and coordinates. It explores radian measures and demonstrates how to find common angle coordinates, such as pi/2 and pi/4, using the Pythagorean theorem. The tutorial also covers finding coordinates for pi/6 using special triangles, emphasizing the importance of these points for future lessons.

What is the equation of a unit circle?

• x^2 + y^2 = 1

• x^2 + y^2 = 4

• x^2 + y^2 = 0

• x^2 + y^2 = 2

Which of the following is a basic coordinate on the unit circle?

• 1, 1

• 0, 2

• 0, 1

• 2, 0

What is the x-coordinate for the angle pi/4 on the unit circle?

• 1/2

• sqrt(3)/2

• sqrt(2)/2

• 1

Which theorem is used to find the coordinates for pi/4?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

What is the y-coordinate for the angle pi/6 on the unit circle?

• sqrt(3)/2

• 1/2

• 1

• sqrt(2)/2

Which special triangle is used to find the coordinates for pi/6?

• Scalene triangle

• Equilateral triangle

• 45-45-90 triangle

• 30-60-90 triangle

Why is it important to understand the derived coordinates on the unit circle?

• They are not important

• They are used for drawing

• They are only for decoration

• They are used in the next chapters