Filling Out the Unit Circle with Precision

This video tutorial explains how to fill out the unit circle, starting with basic angles in degrees and radians. It covers the coordinates of key points on the circle, provides a memory trick for remembering these points, and explains how to convert between radians and degrees. The tutorial also discusses the placement of radians in different quadrants and completes the unit circle with all necessary points and angles.

What is the radian measure equivalent to 30 degrees?

• PI/6

• PI/2

• PI/4

• PI/3

What are the coordinates at 90 degrees on the unit circle?

• (1,0)

• (0,1)

• (0,-1)

• (-1,0)

At what angle is the y-coordinate 0 on the unit circle?

• 270 degrees

• 90 degrees

• 180 degrees

• 0 degrees

How is the square root used in determining the coordinates on the unit circle?

• Square root of the denominator

• Square root of the angle

• Not used

• Square root of the numerator

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

• 1

• root 3/2

• root 2/2

• 1/2

What is the radian measure for 180 degrees?

• PI

• 2PI

• PI/2

• 3PI/2

What is the degree measure corresponding to 7 PI/6?

• 180 degrees

• 240 degrees

• 150 degrees

• 210 degrees

What is the correct sequence of radians that increments by PI/3?

• PI/3, 2PI/3, 3PI/3

• PI/6, 2PI/6, 3PI/6

• PI/2, 2PI/2, 3PI/2

• PI/4, 2PI/4, 3PI/4

Which quadrant contains points with both negative x and y coordinates?

• Second

• Fourth

• Third

• First

Which of the following is not a correct pair of equivalent degree and radian measures?

• 45 degrees and PI/4

• 90 degrees and PI/2

• 180 degrees and 2PI

• 360 degrees and 2PI