The Unit Circle

The Unit Circle

Multiple Choice

cos (π/4)

• √3/2

• √2/2

• 1/2

• 1

Multiple Choice

cos(π)=

• 0

• 1

• -1

• 1/2

Multiple Choice

sin 2π/3

• 1/2

• -1/2

• √3/2

• -√3/2

Multiple Choice

What is the exact coordinates of 3π/4 on the unit circle?

• (−√2∕2, √2∕2)

• (−√2∕2, −√2∕2)

• (−√3∕2, −√2∕2)

• (√2∕2, −√2∕2)

Multiple Choice

cos 4π/3

• -√3/2

• √3/2

• 1/2

• -1/2

Multiple Choice

cos 5π/6

• -1/2

• 1/2

• √3/2

• -√3/2

Multiple Choice

sin π/4

• √2∕2

• 1/2

• √3/2

• 0

Multiple Choice

What is cos 30°?

• ^√3/₂

• ½

• ^√2/₂

• 1

Multiple Choice

What is tan 45°?

• 1

• ^√2/₂

• ^√3/₂

• ½

Multiple Choice

What is cos 90°?

• ½

• undefined

• 1

• 0

Multiple Choice

What is sin 45°?

• 1

• ^√3/₂

• ½

• ^√2/₂

Multiple Choice

cosθ is positive in

• the 1st and 2nd quadrants

• the 1st and 3rd quadrants

• the 1st and 4th quadrants

• the 2nd and 3rd quadrants

Multiple Choice

sinθ is positive in

• the 1st and 2nd quadrants

• the 1st and 3rd quadrants

• the 1st and 4th quadrants

• the 2nd and 3rd quadrants

Multiple Choice

What are the coordinates of 60° on the unit circle?

• (0, 1)

• (1/2, √3/2)

• (√3/2, 1/2)

• (√2/2, 1/2)

Multiple Choice

What is the exact value of sin 150°

• -1/2

• -√3/2

• 1/2

• √3/2

Multiple Choice

What is the radius of a unit circle?

• 1

• 2

• 1/2

• 0

Multiple Choice

sin 7π/6

• 1/2

• -1/2

• √3/2

• -√3/2

Multiple Choice

cos 150^o

• -1/2

• 1/2

• √3/2

• -√3/2

Multiple Choice

cos(60°)

• 0

• 1/2

• √3/2

• 1

Multiple Choice

What is the measure of the angle shown, in radians?

• π/3
• π/6
• 2π/5
• π/5

Multiple Choice

What is the measure of the angle shown, in radians?

• 2π/3
• π/2
• 4π/5
• 3π/5

Multiple Choice

What is the measure of the angle shown, in radians?

• 3π/4
• π/2
• π
• 2π/3

Multiple Choice

What is the measure of the angle shown, in radians?

• π/2
• 3π/4
• 2π/5
• 3π/5

Multiple Choice

What is 7π/10 in degrees?

• 120

• 126

• 123

• 119

Multiple Choice

What is 3π/5 in degrees?

• 135
• 108
• 122
• 136

Multiple Choice

What is 11π/12 in degrees?

• 164

• 165

• 162

• 163

Multiple Choice

What is π/2 in degrees?

• 120
• 90
• 105
• 59

Multiple Choice

What is 135° in radians?

• 3/4
• 3π/4
• 3/5
• 3π/5

Multiple Choice

What is 36° in radians?

• 1/5
• π/5
• 1/3
• π/3

Multiple Choice

What is 45° in radians?

• 1/4
• π/4
• 2/5
• 2π/5

Multiple Choice

What is 30° in radians?

• 1/6
• π/6
• 1/7
• π/7

Multiple Choice

What is 90° in radians?

• 1/2
• π/2
• 2/3
• 2π/3

Connecting Special Right Triangles with the Unit Circle

How would you explain the relationship between triangles and the coordinates of points on the unit circle?

Open Ended

Describe your understanding of the relationship between special right triangles with a hypotenuse of length 1 and the coordinates of the points on the unit circle.

Radian Measure of Angles

Interpret the meaning of this interactive tool.

https://www.geogebra.org/m/svXR9BB6