Unit Circle Angle Coordinates

The video tutorial explores the unit circle, focusing on labeling common ordered pairs and understanding their significance. It covers quadrantal angles, symmetry, and reflections to calculate ordered pairs. The tutorial also discusses bisectors and angle measures, providing a foundation for evaluating trigonometric functions in future lessons.

What is the relationship between x and y values on the unit circle?

• x + y = 1

• x^2 + y^2 = 1

• x^2 - y^2 = 1

• x^2 + y^2 = 2

Which ordered pair corresponds to a 0-degree angle on the unit circle?

• (0, -1)

• (0, 1)

• (-1, 0)

• (1, 0)

What is the ordered pair for a 90-degree angle on the unit circle?

• (-1, 0)

• (1, 0)

• (0, -1)

• (0, 1)

If x = 1/2 on the unit circle, what is the corresponding y-value?

• -sqrt(3)/2

• sqrt(3)/2

• 1/2

• 1

What is the ordered pair for a 180-degree angle on the unit circle?

• (0, -1)

• (0, 1)

• (1, 0)

• (-1, 0)

In which quadrant are both x and y values positive?

• Quadrant I

• Quadrant III

• Quadrant II

• Quadrant IV

What is the ordered pair for a 270-degree angle on the unit circle?

• (1, 0)

• (0, -1)

• (0, 1)

• (-1, 0)

What is the reflection of the ordered pair (1/2, sqrt(3)/2) across the x-axis?

• (1/2, -sqrt(3)/2)

• (-1/2, -sqrt(3)/2)

• (1/2, sqrt(3)/2)

• (-1/2, sqrt(3)/2)

Which angle corresponds to the ordered pair (1/2, sqrt(3)/2)?

• 90 degrees

• 30 degrees

• 120 degrees

• 60 degrees

What is the ordered pair for a 120-degree angle on the unit circle?

• (1/2, sqrt(3)/2)

• (-1/2, sqrt(3)/2)

• (1/2, -sqrt(3)/2)

• (-1/2, -sqrt(3)/2)