Exact Value from Unit Circle

Which angle on the unit circle has a cosine value of -1?

• 0

• π/2

• π

• 3π/2

• none of these

Write the exact coordinates of the point at 300 degrees on the unit circle.

• 5π/3

• (1/2,√3/2)

• (1/2,-√3/2)

• (√2/2,-√2/2)

• none of these

What is the reference angle for 330 degrees?

[Remember, a reference angle must be in the top right]

• 30

• 45

• 60

• 210

• none

What is the reference angle for 117 degrees?

How many radians is 225 degrees?

• π/4

• 3π/4

• 5π/4

• 225π/4

• none

Find the coordinates of the point at 50 degrees on the unit circle.

• (50,40)

• (.64,.77)

• (.77,.64)

• (40,50)

• None of these

The angle π/12 radians would be located in which quadrant?

• I

• II

• III

• IV

Which of the following angles is in the same location on the unit circle as 120 degrees?

• 240

• -120

• 480

• 0

• none of these

Which of these negative angles (this means you go clockwise from 0) would be at the same location as 210 degrees?

• -210

• -180

• -150

• -360

• None of these

What is the reference angle for 4π/3 radians?

• π/6

• π/3

• π/4

• π/2