Precalculus Trig Day 2 EXACT VALUES
Name __________________________________Hour ________
NO CALCULATOR ON THIS ENTIRE WORKSHEET
Use special right triangles to write the missing side lengths on each triangle.
Use the triangles above to state the EXACT VALUE of the trig functions WITHOUT using a calculator.
3. tan 60°
4. sin 45°
2. cos
1. sin
5. cos
6. tan
7. tan 45°
8. cos 30°
13. csc 45°
14. cot
9. sin
10. csc 30°
12. sec 30°
11. sec
Label the UNIT CIRCLE to help state the QUADRANTAL EXACT VALUES.
15. cos 90°
17. cos
18. sin 2
16. sin
19. cos
20. cos 0
21. sin 180°
22. sin(−90°)
23. sin 6
24. cos 9 25. tan
26. tan 2
27. tan 180°
28. sec 90°
29. csc 270°
30. cot 180°
31. csc(−270°)
32. tan
33. sec 2
34. sec
35. cot
36. csc 7
Name each QUADRANT described. (I, II, III, IV)
37. sin > 0 and cos < 0
38. sin < 0 and cos
(positive)
(negative)
>0
39. sin
< 0 and tan
>0
40. sec
> 0 and csc
>0
State the EXACT VALUE WITHOUT using a calculator. Leave answers in simplest radical form or state that the value is undefined.
42. sin 210°
44. tan 120°
46. tan
41. cos
43. cos
45. sin
47. tan
48. sin 225°
49. tan 300°
50. tan
51. tan 150°
52. cos
53. sin
54. sin(−120°)
55. cos 240°
56. tan
57. cos
58. cos(−45°)
59. sin(−240°)
60. sin 135°
61. tan 135°
62. cos 150°
63. sin 315°
64. cos 300°
65. tan 330°
66. cos 225°
67. sin −
68. sin
69. cos
70. tan 5
Now, try a few reciprocal functions. You may want to draw a labeled picture for these.
71. csc(−240°)
72. sec(−120°)
73. cot 135°
74. sec 150°
75. cot
76. csc
77. sec 315°
81. sec
82. csc
78. cot 300°
79. csc(−30°)
80. cot