Unit Circle Exploration

Unit Circle Exploration

Read each question carefully and provide your answers based on your understanding of the unit circle.

1. The unit circle is a circle with a radius of   unit(s) centered at the   of the coordinate plane.

2. In the unit circle, for any point (x, y) on the circle, x represents the   of the angle and y represents the   of the angle.

3. An angle of 90 degrees is equivalent to   radians.

1. Which of the following points lies on the unit circle?

2. What is the cosine value of an angle of π/2 radians on the unit circle?

1. Explain the relationship between the coordinates of a point on the unit circle and the sine and cosine of the angle corresponding to that point.

Use the unit circle diagram below to answer the following questions.

2. What are the coordinates of the point on the unit circle corresponding to an angle of 180 degrees?

3. If a point on the unit circle has coordinates (0, -1), what is the angle in radians?

1. The tangent of an angle on the unit circle is equal to the ratio of its x-coordinate to its y-coordinate.