Exploring the Unit Circle and Radians

What is celebrated on Pi Day?

• The discovery of the unit circle

• The birth of Albert Einstein

• The mathematical constant Pi

• The invention of the calculator

What is the approximate value of the sine of 60 degrees?

• 0.5

• 0.866

• 1

• 0.707

Tags

CCSS.HSF.TF.A.4

What is the hypotenuse length of a 30-60-90 triangle if the shortest side is 1?

• 2

• 1

• 1.5

• 3

Tags

CCSS.8.G.B.8

What is the cosine of 30 degrees using a special right triangle?

• sqrt(2)/2

• 1/2

• 2

• sqrt(3)/2

Tags

CCSS.HSG.SRT.C.7

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 1?

• 1

• sqrt(2)

• sqrt(3)

• 2

Tags

CCSS.8.G.B.8

What is the exact value of the sine of 60 degrees?

• 2

• sqrt(2)/2

• sqrt(3)/2

• 1/2

Tags

CCSS.HSF.TF.A.2

What is the exact value of the tangent of 45 degrees?

• 1/2

• 1

• sqrt(2)

• sqrt(3)/2

Tags

CCSS.HSF.TF.A.2

What is the relationship between radians and degrees?

• 180 degrees equals 2 Pi radians

• 180 degrees equals Pi radians

• 360 degrees equals Pi radians

• 90 degrees equals Pi radians

Tags

CCSS.HSF.TF.A.1

How many radians are in a full circle?

• 4 Pi

• Pi/2

• 2 Pi

• Pi

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the sine of Pi/6?

• 3/2

• sqrt(2)/2

• sqrt(3)/2

• 1/2

Tags

CCSS.HSF.TF.A.2