Angles and Unit Circle

What is the approximate measure of the angle?

Tags

CCSS.4.MD.C.6

Jace drew the pattern shown using eight identical triangles. He drew a circle around the center of his pattern, where all eight identical triangles meet. He noticed that 1/8 of the circle was in each triangle.

What is the measure of each of the eight angles in the center of the pattern?

• 45 degrees

• 90 degrees

• 180 degrees

• 30 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Noah drew the pattern shown using four identical squares. He drew a circle around the center of his pattern, where all four identical squares meet. He noticed that 1/4 of the circle was in each square.

What is the measure of each of the four angles in the center of the pattern?

• 45 degrees

• 90 degrees

• 180 degrees

• 30 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Simone drew the pattern shown using six identical triangles. She drew a circle around the center of her pattern, where all six identical triangles meet.

She noticed that 1/6 of the circle was in each triangle.

What is the measure of each of the six angles in the center of the pattern?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the measure of an angle that cuts off 

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

sin π/4

• √2∕2

• 1/2

• √3/2

• 0

Tags

CCSS.HSF.TF.A.2

cos 4π/3

• -√3/2

• √3/2

• 1/2

• -1/2

Tags

CCSS.HSF.TF.A.2

cos 5π/6

• -1/2

• 1/2

• √3/2

• -√3/2

Tags

CCSS.HSF.TF.A.2

sin 7π/6

• 1/2

• -1/2

• √3/2

• -√3/2

Tags

CCSS.HSF.TF.A.2

sin 2π/3

• 1/2

• -1/2

• √3/2

• -√3/2

Tags

CCSS.HSF.TF.A.2