Answers for Lesson 14-1 Exercises 1. Cos cot = cos == -

Answers for Lesson 14-1 Exercises
1. Cos
cot
= cos
==
2. sin
cot
= sin
= cos
3. cos
tan
= cos
= sin
4. sin
sec
= sin
5. cos
sec
= cos
=1
6. tan
cot
=
=1
7. sin
csc
= sin
8. cot
=
=
=
-
-sin
= tan
=1
10. sin2
11. tan2
12. −-cot2
13. csc
14. sin
15. cos
16. 1
17. sin
18. 1
19. 1
20. 1
21. sec
22. 1
23. sec2
24. sec2
25. cot
26. csc
27. -tan2
28. tan
29. sec
30. csc
31. sin2
32. sin2
33. sin
34. sec
35. sec
36. 1
37. 1
38. 1
9. 1
39.
40.
41.
42.
43.
44.
csc2
Answers for Lesson 14-1 Exercises (cont.)
45. sin2
tan2
= sin2
= (1 – cos2
)
= tan2
=
46. sec
- sin
tan
=
- sin
=
47. sin
- sin2
= cos
cos
(tan
+ cot
) = sin
= sin2
=
cos
+ cos2
=1
48.
=
49.
= sin
50. (cot
= csc2
+ 1)2 = cot2
+ 2 cot
+ 1 = cot2
+ 1 + 2 cot
+ 2 cot
51.
52. 1 - sin
53. Check students’ work.
54. When checking a root of an equation, you substitute the
solution into the equation to see if it is true. When verifying
an identity, you substitute equivalent expressions until both
sides are the same.
55. 1 + sec
56.
= 1+
+1=
cot
+1
Answers for Lesson 14-1 Exercises (cont.)
57.
=
+
= cos2
+ sin2
=1
58. sin2 tan2 + cos2 tan2 = tan2
= tan2 (1) = tan2 = sec2 -1
(sin2
+ cos2
59. 1
60. csc2
61. If n2 > n1, then 1 > 2; if n2
2; if n2 = n1, then
1=
2.
n1, then
1
<
)