Trig Functions and Unit Circle

Question 1

sin theta

Answer 1

y/1

Question 2

cos theta

Answer 2

x/1

Question 3

tan theta

Answer 3

y/x

Question 4

csc (cosecant) theta

Answer 4

1/y

Question 5

sec (secant) theta

Answer 5

1/x

Question 6

cot (cotangent) theta

Answer 6

x/y

Question 7

45-45-90 triangles

Answer 7

45- root(2)/2

90- xroot(2)

Question 8

30-60-90 triangles

Answer 8

30- x
60- xroot(3)
90- 2x

Question 9

cosecant

Answer 9

hypotenuse/opposite

goes with sine

Question 10

secant

Answer 10

hypotenuse/adjacent

goes with cosine

Question 11

cotangent

Answer 11

adjacent/opposite

goes with tangent

Question 12

30 degrees unit circle in radians

Answer 12

pi/6

Question 13

45 degrees unit circle in radians

Answer 13

pi/4

Question 14

60 degrees unit circle in radians

Answer 14

pi/3

Question 15

90 degrees unit circle in radians

Answer 15

pi/2

Question 16

120 degrees unit circle in radians

Answer 16

2pi/3

Question 17

135 degrees unit circle in radians

Answer 17

3pi/4

Question 18

150 degrees unit circle in radians

Answer 18

5pi/6

Question 19

180 degrees unit circle in radians

Answer 19

pi

Question 20

210 degrees unit circle in radians

Answer 20

7pi/6

Question 21

225 degrees unit circle in radians

Answer 21

5pi/4

Question 22

240 degrees unit circle in radians

Answer 22

4pi/3

Question 23

270 degrees unit circle in radians

Answer 23

3pi/2

Question 24

300 degrees unit circle in radians

Answer 24

5pi/3

Question 25

315 degrees unit circle in radians

Answer 25

7pi/4

Question 26

330 degrees unit circle in radians

Answer 26

11pi/6

Question 27

360 degrees unit circle in radians

Answer 27

2pi

Question 28

coordinate of 0/360

Answer 28

(1,0)

Question 29

coordinate of 30, 150, 210, and 330

Answer 29

(root(3)/2, 1/2) (-root(3)/2, 1/2) (-root(3)/2, -1/2) (root(3)/2, -1/2)

Question 30

coordinate of 45, 135, 225, 315

Answer 30

(root(2)/2 , root(2)/2) (-root(2)/2 , root(2)/2) (-root(2)/2 , -root(2)/2) (root(2)/2 , -root(2)/2)

Question 31

coordinate of 60, 120, 240, 300

Answer 31

(1/2, root(3)/2) (-1/2, root(3)/2) (-1/2, -root(3)/2) (1/2, -root(3)/2)

Question 32

coordinate of 90

Answer 32

(0,1)

Question 33

coordinate 180

Answer 33

(-1,0)

Question 34

coordinate 270

Answer 34

(0,-1)