The Unit Circle

Question 1

π/6

Answer 1

(√3/2, 1/2)

This corresponds to 30 degrees on the unit circle.

Question 2

π/4

Answer 2

(√2/2, √2/2)

This corresponds to 45 degrees on the unit circle.

Question 3

π/3

Answer 3

(1/2, √3/2)

This corresponds to 60 degrees on the unit circle.

Question 4

π/2

Answer 4

(0, 1)

This corresponds to 90 degrees on the unit circle.

Question 5

π

Answer 5

(-1, 0)

This corresponds to 180 degrees on the unit circle.

Question 6

3π/2

Answer 6

(0, -1)

This corresponds to 270 degrees on the unit circle.

Question 7

2π

Answer 7

(1, 0)

This corresponds to 360 degrees on the unit circle.

Question 8

5π/6

Answer 8

(-√3/2, 1/2)

This corresponds to 150 degrees on the unit circle.

Question 9

7π/6

Answer 9

(-√3/2, -1/2)

This corresponds to 210 degrees on the unit circle.

Question 10

4π/3

Answer 10

(-1/2, -√3/2)

This corresponds to 240 degrees on the unit circle.

Question 11

3π/4

Answer 11

(-√2/2, √2/2)

This corresponds to 135 degrees on the unit circle.

Question 12

5π/4

Answer 12

(-√2/2, -√2/2)

This corresponds to 225 degrees on the unit circle.

Question 13

7π/4

Answer 13

(√2/2, -√2/2)

This corresponds to 315 degrees on the unit circle.

Question 14

11π/6

Answer 14

(√3/2, -1/2)

This corresponds to 330 degrees on the unit circle.

Question 15

(1, 0)

Answer 15

2π

This corresponds to 360 degrees on the unit circle.

Question 16

(0, 1)

Answer 16

π/2

This corresponds to 90 degrees on the unit circle.