Unit Circle and Angle Measures

The video tutorial explains how to fill out a unit circle efficiently, focusing on understanding key points and using tricks to avoid memorization. It covers the basic structure of the unit circle, quadrant values, angles in degrees, and their conversion to radians. The tutorial aims to help students complete a unit circle in under five minutes using these techniques.

What are the coordinates of the point on the unit circle at the positive x-axis?

• (0, 1)

• (0, -1)

• (1, 0)

• (-1, 0)

Which of the following is a trick to remember the values on the unit circle?

• Use fractions over 3

• Use fractions over 2

• Use fractions over 4

• Use fractions over 5

How do you determine the sign of coordinates in the second quadrant?

• Both negative

• X is negative, Y is positive

• X is positive, Y is negative

• Both positive

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

• 90°

• 0°

• 180°

• 270°

How many degrees are in 3 times 30°?

• 120°

• 150°

• 90°

• 60°

What is the radian measure of 30°?

• π/4

• π/2

• π/6

• π/3

If 90° is π/2 radians, what is 180° in radians?

• 3π/2

• π/2

• 2π

• π

What is the radian measure of 45°?

• π/2

• π/3

• π/4

• π/6

How do you convert 60° to radians?

• π/2

• π/4

• π/3

• π/6

What is the radian measure of 270°?

• π/2

• π

• 2π

• 3π/2