Exploring the Unit Circle in Algebra 2

What is the radius of the unit circle?

• 0.5

• 1

• 2

• 0

Which point does NOT lie on the unit circle?

• (0, 1)

• (-1, 0)

• (1, 0)

• (2, 0)

What is the standard position of an angle?

• Measured clockwise from the negative x-axis

• Measured counterclockwise from the positive y-axis

• Measured clockwise from the positive y-axis

• Measured counterclockwise from the positive x-axis

Which angle in standard position is represented by the point (0, -1) on the unit circle?

• 90°

• 180°

• 270°

• 360°

What is the significance of 0° and 360° angles on the unit circle?

• They are opposite to each other

• They represent the same point

• They indicate the circle's diameter

• They are not represented on the unit circle

What is the x-coordinate of a point on the unit circle at a 30° angle?

• 0

• √2/2

• 1/2

• √3/2

What are the coordinates of the point on the unit circle at a 45° angle?

• (√3/2, 1/2)

• (√2/2, √2/2)

• (1/2, √3/2)

• (0, 1)

What is the hypotenuse length of the triangles formed within the unit circle?

• 0.5

• 2

• √2

• 1

Which of the following is NOT a correct coordinate point for a 60° angle in the unit circle?

• (√2/2, √2/2)

• (√3/2, 1/2)

• All are correct

• (1/2, √3/2)

How are the coordinates of points on the unit circle related to trigonometric functions?

• They are unrelated to trigonometric functions

• They represent sine and cosine values

• They only represent secant values

• They indicate tangent and cotangent values