Unit Circle and Special Triangles

What is the radius of the unit circle?

• 0.5

• 1

• 2

• 3

Tags

CCSS.HSF.TF.A.2

What is the x-coordinate of the point associated with a 30-degree angle on the unit circle?

• √2/2

• 
  1/2

• 1

• 
  √3/2

Tags

CCSS.HSF.TF.A.2

For a 30-degree angle, what are the coordinates in the second quadrant?

• (√3/2, 1/2)

• (-√3/2, 1/2)

• 
  (-1/2, √3/2)

• (1/2, √3/2)

Tags

CCSS.HSF.TF.A.2

What is the hypotenuse length of a 45-45-90 triangle in the unit circle?

• √2

• 1/2

• 1

• 2

What are the coordinates of the point at a 45-degree angle in the first quadrant?

• 
  (1, 0)

• (√3/2, 1/2)

• (1/2, √3/2)

• (√2/2, √2/2)

Tags

CCSS.HSF.TF.A.2

What is the x-coordinate for a 60-degree angle on the unit circle?

• 1

• √2/2

• 
  √3/2

• 
  1/2

Tags

CCSS.HSF.TF.A.2

In the third quadrant, what are the coordinates for a 60-degree angle?

• 
  (√3/2, -1/2)

• 
  (-1/2, -√3/2)

• (1/2, -√3/2)

• 
  (-√3/2, -1/2)

Tags

CCSS.HSF.TF.A.2

What are the coordinates for a point at 315 degrees on the unit circle?

• (√3/2, -1/2)

• 
  (√2/2, -√2/2)

• 
  (-√2/2, √2/2)

• 
  (-1/2, √3/2)

Tags

CCSS.HSF.TF.A.2

Which of the following is true for the coordinates of points in the fourth quadrant?

• x is positive, y is negative

• x is negative, y is positive

• x is positive, y is positive

• 
  x is negative, y is negative

Tags

CCSS.6.NS.C.6B

What are the coordinates of a point at 225 degrees on the unit circle?

• (-√2/2, -√2/2)

• (√2/2, -√2/2)

• (-√2/2, √2/2)

• (√2/2, √2/2)

Tags

CCSS.HSF.TF.A.2