Pythagorean identity sin²t + cos² t = 1 to find cost. 7 29. sint= = 6 30. sin t 100 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 30.
19. a. cos
b. cos
trigonometric function at the indicated real number.
TT
3
21. a. sin
b. sin
23. a. tan
b. tan
25. sin
27. sin t =
29. sin t =
31. sint =
37. sec
5T
6
7T
3
43. tan
F+
41. sin-
5T
3
5TT
6
In Exercises 29-32, 0≤ t <.
bly
5 T
4
(5
In Exercises 25-28, sin t and cost are given. Use identities to
find tan t, csc t, sec t, and cot t. Where necessary, rationalize
denominators.
8
17'
1
3'
5 T
3
6
7
Cost =
9TT
4
Cost =
V39
8
15
17
2√2
3
tan
20. a. cos
F6E3
b. cos(
Pythagorean identity sin²t + cos² t = 1 to find cost.
7
8
22. a. sin
b. sin
24. a. tan
b. tan
30. sin t =
3
26. sin t = COS t =
5'
32. sint =
In Exercises 33-38, use an identity to find the value of each
expression. Do not use a calculator.
33. sin 1.7 csc 1.7
35. sin² + cos²-
2
28. sin t = Cost =
3'
TT
3
2T
3
38. csc²
<and sin t is given. Use the
2TT
3
40. csc
11T
6
42. sec
117
6
44. cot
34. cos 2.3 sec 2.3
TT
TT
36. sin²- + cos
3
In Exercises 39-52, find the exact value of each trigonometric
function. Do not use a calculator.
9TT
39. cos
9T
4
5T
4
9T
4
V21
5
4
V5
3
cot²
b.
53. a.
b.
55. a.
b
57. a
E
59. a
In E
trigo
61.
63.
65.
67.
69
Transcribed Image Text:19. a. cos b. cos trigonometric function at the indicated real number. TT 3 21. a. sin b. sin 23. a. tan b. tan 25. sin 27. sin t = 29. sin t = 31. sint = 37. sec 5T 6 7T 3 43. tan F+ 41. sin- 5T 3 5TT 6 In Exercises 29-32, 0≤ t <. bly 5 T 4 (5 In Exercises 25-28, sin t and cost are given. Use identities to find tan t, csc t, sec t, and cot t. Where necessary, rationalize denominators. 8 17' 1 3' 5 T 3 6 7 Cost = 9TT 4 Cost = V39 8 15 17 2√2 3 tan 20. a. cos F6E3 b. cos( Pythagorean identity sin²t + cos² t = 1 to find cost. 7 8 22. a. sin b. sin 24. a. tan b. tan 30. sin t = 3 26. sin t = COS t = 5' 32. sint = In Exercises 33-38, use an identity to find the value of each expression. Do not use a calculator. 33. sin 1.7 csc 1.7 35. sin² + cos²- 2 28. sin t = Cost = 3' TT 3 2T 3 38. csc² <and sin t is given. Use the 2TT 3 40. csc 11T 6 42. sec 117 6 44. cot 34. cos 2.3 sec 2.3 TT TT 36. sin²- + cos 3 In Exercises 39-52, find the exact value of each trigonometric function. Do not use a calculator. 9TT 39. cos 9T 4 5T 4 9T 4 V21 5 4 V5 3 cot² b. 53. a. b. 55. a. b 57. a E 59. a In E trigo 61. 63. 65. 67. 69
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