Mastering the Unit Circle Memorization Techniques

This video tutorial explains how to memorize the unit circle by understanding angles in radians and degrees. It covers dividing the unit circle into equal parts, identifying x and y values in different quadrants, and converting radians to degrees. The video also demonstrates how to use the unit circle to evaluate trigonometric functions like sine, cosine, and tangent.

What does 3 pi over 4 simplify to in the unit circle?

• 135 degrees

• 225 degrees

• pi

• 3 pi over 4

What is the radian measure for a full circle?

• pi

• 3 pi

• 2 pi

• 1 pi

What is the x value at pi over 2 on the unit circle?

• 0

• 1

• undefined

• -1

What is the x value at pi over 6 on the unit circle?

• sqrt(3)/2

• 1/2

• -1/2

• -sqrt(3)/2

What is the y value at 5 pi over 4 on the unit circle?

• -1/2

• 1/2

• sqrt(2)/2

• -sqrt(2)/2

What is the degree measure of pi over 3?

• 60 degrees

• 30 degrees

• 45 degrees

• 90 degrees

What is the degree measure of 7 pi over 6?

• 210 degrees

• 225 degrees

• 150 degrees

• 240 degrees

What is the sine of pi over 3?

• 0

• sqrt(2)/2

• sqrt(3)/2

• 1/2

What is the cosine of 7 pi over 6?

• 1/2

• -1/2

• sqrt(3)/2

• -sqrt(3)/2

What is the tangent of pi over 3?

• 1

• sqrt(3)

• 1/3

• 3