Learn how to find the point of the unit circle when given a specific angle

The video tutorial explains the unit circle, focusing on the first quadrant and key angles: 30°, 45°, and 60°, corresponding to π/6, π/4, and π/3 radians. It details the coordinates of these angles on the unit circle and discusses how to reflect these points over the axes to understand the entire circle. The tutorial emphasizes memorizing the first quadrant to deduce the rest of the circle and demonstrates graphing these points and their transformations.

What are the X and Y coordinates for the angle 30 degrees on the unit circle?

• sqrt 3 / 2, 1/2

• 1/2, sqrt 3 / 2

• sqrt 2 / 2, sqrt 2 / 2

• 1, 0

Which angle corresponds to the coordinate point (sqrt 2 / 2, sqrt 2 / 2) on the unit circle?

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees

If a point (1/2, sqrt 3 / 2) is reflected over the Y-axis, what are the new coordinates?

• -1/2, -sqrt 3 / 2

• -1/2, sqrt 3 / 2

• 1/2, -sqrt 3 / 2

• 1/2, sqrt 3 / 2

What is the coordinate point for 2π/3 on the unit circle?

• 1/2, sqrt 3 / 2

• -1/2, sqrt 3 / 2

• -sqrt 3 / 2, 1/2

• sqrt 3 / 2, -1/2

How many π thirds are there in a full circle?

• 3

• 6

• 4

• 2