Exploring the Unit Circle Fundamentals

What is the radius of the unit circle?

• 3

• 0.5

• 2

• 1

What is the standard equation of the unit circle?

• x^2 + y^2 = 1

• x^2 - y^2 = 1

• x^2 + y^2 = 0

• x^2 + y = 1

From which point should you always start when using the unit circle?

• (0,1)

• (0,-1)

• (1,0)

• (-1,0)

In which direction does a positive angle measurement move on the unit circle?

• Clockwise

• Counterclockwise

• Upwards

• Downwards

True or False: In the unit circle, the ordered pairs are represented as (cosine of the angle, sine of the angle).

• None of the above

• Sometimes

• True

• False

At 0 degrees, what is the cosine value in the unit circle?

• 0.5

• -1

• 0

• 1

What does the coordinate (0,1) represent at 90 degrees in the unit circle?

• Tangent of 90

• Cotangent of 90

• Sine of 90

• Cosine of 90

Using special right triangles, what is the x-coordinate for a 45-degree angle in the unit circle?

• 1/2

• sqrt(2)/2

• 1/sqrt(2)

• 2/sqrt(2)

For a 60-degree angle in the unit circle, what is the sine value?

• 1/2

• sqrt(3)/2

• sqrt(2)/2

• 3/2

What is the relationship between the hypotenuse of the special right triangles used and the radius of the unit circle?

• Equal to the radius

• Unrelated

• Twice the radius

• Half the radius