Exploring the Unit Circle in Algebra 2

What is the equation of the unit circle?

• x^2 + y^2 = 1

• x^2 + y^2 = 0

• x^2 - y^2 = 1

• x^2 + y = 1

What is the significance of the unit circle in trigonometry?

• It is only used in advanced calculus.

• It represents the solution to x^2 + y^2 = 0.

• It is used to calculate the area of circles.

• It helps in defining the sine and cosine functions.

What is the length of each leg in a 45-45-90 triangle used in the unit circle?

• 1/2

• √2

• 1/√2

• √2/2

How do you rationalize the denominator of √(1/2)?

• Multiply by √2/√2

• Divide by 2/2

• Multiply by 1/2

• No need to rationalize

What are the coordinates at 30 degrees on the unit circle?

• (√3/2, 1/2)

• (1, 0)

• (1/2, √3/2)

• (√2/2, √2/2)

What is the hypotenuse length of triangles used in the unit circle?

• 2

• 1/2

• √2

• 1

What is the x-coordinate at 45 degrees on the unit circle?

• 1/2

• √2/2

• √3/2

• 0

What is the x-coordinate at 120 degrees on the unit circle?

• -1/2

• -√3/2

• √3/2

• 0

What changes about the coordinates when reflecting a triangle over the y-axis?

• No change occurs.

• Both coordinates become negative.

• The y-coordinate becomes negative.

• The x-coordinate becomes negative.

What is the y-coordinate at 270 degrees on the unit circle?

• 1

• √2/2

• 0

• -1