Unit Circle

Question 1

coordinates for π/6 are
( ___ , ___ )

Answer 1

( √3 / 2 , 1 / 2)

Question 2

coordinates for π/4 are
( ___ , ___ )

Answer 2

( √2 / 2 , √2 / 2)

Question 3

coordinates for π/3 are
( ___ , ___ )

Answer 3

(1/ 2 , √3 / 2 )

Question 4

π/6 = ___°

Answer 4

30°

Question 5

π/4 = ___°

Answer 5

45°

Question 6

π/3 = ___°

Answer 6

60°

Question 7

π/2 = ___°

Answer 7

90°

Question 8

3π/2 = ___°

Answer 8

270°

Question 9

2π = ___°

Answer 9

360°

Question 10

0 pi = ___°

Answer 10

0°

Question 11

coordinates for 2π/3 are
( ___ , ___ )

Answer 11

(-1 / 2 , √3 / 2 )

Question 12

coordinates for 3π/4 are
( ___ , ___ )

Answer 12

(- √2 / 2 , √2 / 2)

Question 13

coordinates for 5π/6 are
( ___ , ___ )

Answer 13

(- √3 / 2 , 1 / 2)

Question 14

coordinates for 4π/3 are
( ___ , ___ )

Answer 14

(-1 / 2 , - √3 / 2 )

Question 15

coordinates for 5π/4 are
( ___ , ___ )

Answer 15

(- √2 / 2 , - √2 / 2)

Question 16

coordinates for 7π/6 are
( ___ , ___ )

Answer 16

(- √3 / 2 , -1 / 2)

Question 17

coordinates for 5π/3 are
( ___ , ___ )

Answer 17

(1 / 2 , - √3 / 2 )

Question 18

coordinates for 7π/4 are
( ___ , ___ )

Answer 18

( √2 / 2 , - √2 / 2)

Question 19

coordinates for 11π/6 are
( ___ , ___ )

Answer 19

( √3 / 2 , -1 / 2)

Question 20

coordinates for 0 or 2π are
( ___ , ___ )

Answer 20

( 1 , 0 )

Question 21

coordinates for π/2 are
( ___ , ___ )

Answer 21

( 0 , 1 )

Question 22

coordinates for π are
( ___ , ___ )

Answer 22

( -1 , 0 )

Question 23

coordinates for 3π/2 are
( ___ , ___ )

Answer 23

( 0 , -1 )

Question 24

In quadrant I, the denominators starting from top to bottom are _________

Answer 24

3, 4, 6,

Question 25

In quadrant II, numerators are _____ ______ than denominators

Answer 25

one less

Question 26

In quadrant III, numerators are _____ ______ than denominators

Answer 26

one more

Question 27

In quadrant IV, numerators are _____ ______

Answer 27

prime numbers: 5, 7, 11,