Constructing the Unit Circle: Key Points and Intersections

The video tutorial explains how to construct the unit circle, starting with basic coordinates and degrees. It covers the conversion of degrees to radians, using Pi, and calculating angles in both degrees and radians. The tutorial also discusses expressing radians as fractions and provides a comprehensive review of the unit circle construction process.

What are the basic coordinates on the unit circle?

• (1, 0), (0, 1), (-1, 0), (0, -1)

• (1, 1), (-1, -1), (0, 0), (2, 2)

• (0.5, 0.5), (-0.5, -0.5), (1, -1), (-1, 1)

• (2, 0), (0, 2), (-2, 0), (0, -2)

What is the radian measure for 180 degrees?

• Pi

• 2 Pi

• Pi/2

• 3 Pi/2

What is the degree measure corresponding to Pi/4 radians?

• 45 degrees

• 135 degrees

• 180 degrees

• 90 degrees

What is the radian measure for 90 degrees?

• 3 Pi/2

• 2 Pi

• Pi

• Pi/2

What is the degree measure that corresponds to 3 Pi/4 radians?

• 135 degrees

• 180 degrees

• 90 degrees

• 45 degrees

How many degrees are there in a full circle?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

What is the next angle in degrees after 270 by adding 45?

• 360 degrees

• 315 degrees

• 180 degrees

• 225 degrees

What is the radian measure for an angle of 300 degrees?

• 5 Pi/3

• 4 Pi/3

• 2 Pi/3

• Pi/3

What is the degree measure for 7 Pi/6 radians?

• 210 degrees

• 150 degrees

• 120 degrees

• 240 degrees

What correction was made regarding the placement of an angle in radians?

• 2 Pi/3 was corrected to a different position

• 4 Pi/3 was corrected to a different position

• 3 Pi/2 was corrected to a different position

• Pi/3 was corrected to a different position