Download The Six Trigonometric Functions

Acc. Math 3 - The Six Trigonometric Functions
Name_________________________
Match each of the expressions on the left with an equivalent expression in the box on the right.
One of the expressions on the left has two correct answers in the box.
1.
tan 
A)
2.
sec 
3.
csc 
4.
cot 
1
cos 
B)
D)
1
sin 
1
tan 
C)
E)
sin 
cos 
cos 
sin 
------------------------------------------------------------------------------------------------------------------------------Review Section - Evaluate the expression based on knowledge of the unit circle.
5. sin 180
6. cos 330
7. sin 30
8. cos 225
9. cos 120
10. sin 90
11. cos 210
12. sin 300
------------------------------------------------------------------------------------------------------------------------------Evaluate the expression based on knowledge of the unit circle. Use the following identities to
help you:
cos 
sin 
1
1
cot  
tan  
sec  
csc  
sin 
cos 
cos 
sin 
13. tan 90
14. csc 45
15. sec 300
16. cot 210
17. tan 180
18. sec 150
19. cot 135
20. csc 60
21. cos -270
22. tan 240
23. csc -30
24. sec 315
25. csc 360
26. tan -150
27. sec 180
28. cot -90
The quadrant in which the terminal side of an angle on the coordinate plane lies is given. Based
on the value given, find the value of the requested expression.
29.
Quadrant I
3
sin  
5
Find cos  .
30.
Quadrant I
13
sec  
5
Find tan  .
31.
Quadrant II
24
cos   
25
cot

Find
.
32.
Quadrant II
15
cot   
8
Find sin  .
33.
Quadrant III
3
csc   
2
Find sec  .
34.
Quadrant III
4
tan  
5
Find csc  .
35.
Quadrant IV
1
sin   
4
Find tan  .
36.
Quadrant IV
37.
Quadrant I
cot   1
sec   3
Find cos  .
Find csc  .
Answers to Homework on The Six Trigonometric Functions
1. C
9. 
2. A
1
2
3. D
4. B & E
3
2
5. 0
6.
3
2
12. 
3
2
1
2
8. 
2
2
13. undef.
14.
2
2 3
3
7.
10. 1
11. 
15. 2
16.
3
17. 0
18. 
2 3
3
19. 1
20.
21. 0
22.
3
23. -2
24.
2
25. undef.
26.
27. -1
28. undef.
4
5
30.
12
5
36.
2
2
33. 
3 5
5
41
4
34. 
29.
35. 
15
15
31. 
24
7
3
3
8
32.
17
6
2
37.
Answers to Homework on The Six Trigonometric Functions
1. C
9. 
2. A
1
2
3. D
4. B & E
3
2
5. 0
6.
3
2
12. 
3
2
1
2
8. 
2
2
13. undef.
14.
2
2 3
3
7.
10. 1
11. 
15. 2
16.
3
17. 0
18. 
2 3
3
19. 1
20.
21. 0
22.
3
23. -2
24.
2
25. undef.
26.
27. -1
28. undef.
4
5
30.
12
5
36.
2
2
33. 
3 5
5
34. 
41
4
29.
35. 
15
15
31. 
37.
24
7
6
2
3
3
8
32.
17