Understanding the Unit Circle

The video tutorial explains the unit circle, focusing on three ways to name points: ordered pairs, degrees, and radians. It starts by defining the unit circle with a radius of one and the center at the origin. The tutorial then details the four main reference points and their corresponding degrees and radians, providing a comprehensive understanding of how to navigate the unit circle.

What are the three ways to name points on the unit circle?

• As vectors, in matrices, and in scalars

• As coordinates, in angles, and in distances

• As fractions, in percentages, and in decimals

• As ordered pairs, in degrees, and in radians

What is the radius of the unit circle assumed to be?

• One unit

• Two units

• Zero units

• Three units

Which of the following is NOT a main reference point on the unit circle?

• (1, 0)

• (-1, 0)

• (0, 1)

• (2, 0)

What degree corresponds to the point (0, 1) on the unit circle?

• 0 degrees

• 270 degrees

• 90 degrees

• 180 degrees

How many degrees is a full circle on the unit circle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What is the degree measure for the point (-1, 0) on the unit circle?

• 0 degrees

• 270 degrees

• 90 degrees

• 180 degrees

What is the radian measure for halfway around the unit circle?

• Pi/2

• 3 Pi/2

• 2 Pi

• Pi

What is the radian measure for a full circle on the unit circle?

• Pi/2

• 2 Pi

• Pi

• 3 Pi/2

What is the radian measure for three-fourths of the way around the unit circle?

• 3 Pi/2

• 2 Pi

• Pi

• Pi/2

Which of the following is the radian measure for a quarter of the way around the unit circle?

• Pi

• 2 Pi

• Pi/2

• 3 Pi/2