TRIG WORKSHEET—ANGLES NAME __________________ Attach work to the back of this sheet. I. Sketch each of the following angles in standard position.

1. 150o 2. 120o� 3. 74S

� 4. 23S

II. Determine the quadrant in which the terminal side of the angle lies. 5. 130o ________ 6. 336o� __________ 7. 285o ________

8. 260o� ________ 9. 22

3S

__________ 10. 75S

________

11. 17

3S

� ________ 12. 12S

� __________ 13. 3.5 ________

14. –1 _________ III. Give 2 coterminal angles, one positive and one negative for each of the following. 15. 34o ________ ________ 16. 45o� ________ ________ 17. 120o� ________ ________ 18. 300o ________ ________

19. 43S

________ ________ 20. 11

6S

________ ________

21. 76S

� ________ ________ 22. 4S

________ ________

IV. Express each of the following in radian measure. Leave your answer in terms of S . 23. 150o ________ 24. 315o ________ 25. 240o� ________ 26. 115o ________ 27. 345o ________ 28. 216o� ________

V. Express each of the following in degree measure.

29. 59S

________ 30. 712S

� ________ 31. 11

5S

_______

VI. Find the angle in radian measure between 0 and 2S which is coterminal with the following.

32. 11

4S

________ 33. 23

4S

________ 34. 31

6S

________

35. 40

3S

________ 36. 19

3S

� ________ 37. 121S ________

38. 62

5S

________

VII. Find the reference angle for each of the following.

39. 2080 __________ 40. 74S

____________ 41. 14

5S

___________

42. – 2920 __________ 43. 53S

� ___________ 44. – 4450 ________

45. 13

9S

_________ 46. 5170 ___________ 47. – 1650 ________

48. 17

6S

__________ 49. 3220 ___________ 50. 12

7S

� ___________

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Exact Trig Values of Special Angles

Find the exact value of each trigonometric function.

1) tan

θ

x

y

60°

3

2) sin

θ

x

y

225°

−

2

2

3) sin

θ

x

y

90°

1

4) cos

θ

x

y

150°

−

3

2

5) cos

θ

x

y

90°

0

6) tan

θ

x

y

240°

3

7) cos

θ

x

y

135°

−

2

28) tan

θ

x

y

150°

−

3

3

-1-

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9) cos

θ

x

y

270°

0

10) tan

θ

x

y

225°

1

11) cos 270°

0

12) sin 0

0

13) cot

7

π

4

−1

14) csc

2

π

3

2 3

3

15) csc 225°

− 2

16) sin 300°

−

3

2

17) csc 90°

1

18) tan 240°

3

19) sin

π

4

2

2

20) tan 120°

− 3

21) tan

−13

π

6

−

3

3

22) cos −630° 0

23) cos 990° 024) csc

−31

π

62

25) csc

−5

π

6−2 26) cos

−17

π

3

1

2

27) sin

29

π

6

1

2

28) sec 945°

− 2

29) cos

−11

π

2

0

30) sin −2

π

0

-2-

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Unit Circle Worksheet A Name__________________ Period____________ Solve the following problems using your Unit Circle.

1) sin(90 )D 2) cos4

3) 5sin4 4) cos 135D

5) 5tan4 6) tan(180 )D

7) sin4 8) cos 90D

Unit Circle Worksheet B Name__________________ Period____________ Solve the following problems using your Unit Circle.

1) sin(150 )D 2) 7cos6

3) 5sin6 4) cos 135D

5) 9tan6 6) tan(135 )D

7) sin3 8) cos 120D

Unit Circle Worksheet C Name___________________ Period___________ The given point P is located on the Unit Circle. State the quadrant and find the angle , also sin , cos and tan .

1) 1 3,2 2

P 2) (0, 1)P 3) 2 2,2 2

P

Quad: Quad: Quad: sin : sin : sin :

cos : cos : cos : tan : tan : tan : Find the exact value of each function.

4) 7cos4

5) sin 30D 6) 2sin3

7) cos(600 )D 8) 9sin2

9) tan(7 )

10) 11cos4

11) sin 225D 12) tan(585 )D

13) cos(1440 )D 14) 13sin4

15) 23cos6