гтula to 13. (a) sin(77/12) (b) cos(/12) (c) tan(7/12) 14. (a) sin(/8) In Exercises 35–50, TT (b) cos(7/8) (c) tan(/8) TT 35. cos 2s = 1-t 15. (a) sin 105° (b) cos 105° 7T 16. (a) sin 165° 37. cos 0 =2 cos (b) cos 165° (c) tan 165° sin 20 38. sin 0 Cos 2 (c) tan 105° CoSe 3-4 39. sin* 0 = In Exercises 17–24, refer to the two triangles and compute the %3D 40. sin 30 = 3 sin quantities indicated. 2 ta 41. sin 20 = 43. sin 20 = 2 sin %3D 3 44. cot 0 = t sin 1 + tan(0/2) 45. 4. 24 1- tan(0/2) (b) cos 20 17. (a) sin 20 18. (a) sin 2t 19. (a) sin 26 20. (a) sin 2s 21. (a) sin(0/2) 22. (a) sin(s/2) 23. (a) sin(B/2) 24. (a) sin(t/2) 46. tan 0 + cot 0 (c) tan 20 (c) tan 2t (c) tan 28 (c) tan 2s (c) tan(0/2) (c) tan(s/2) (c) tan(B/2) (c) tan(t/2) (b) cos 2t (b) cos 2B 47. 2 sin?(45° – 48. (sin 0 - cos 49.1+tan 0 tan (b) cos 2s (b) cos(0/2) (b) cos(s/2) (b) cos(B/2) (b) cos(t/2) 50. tan( + 0)- 51. If tan a = 1/ that 0
гтula to 13. (a) sin(77/12) (b) cos(/12) (c) tan(7/12) 14. (a) sin(/8) In Exercises 35–50, TT (b) cos(7/8) (c) tan(/8) TT 35. cos 2s = 1-t 15. (a) sin 105° (b) cos 105° 7T 16. (a) sin 165° 37. cos 0 =2 cos (b) cos 165° (c) tan 165° sin 20 38. sin 0 Cos 2 (c) tan 105° CoSe 3-4 39. sin* 0 = In Exercises 17–24, refer to the two triangles and compute the %3D 40. sin 30 = 3 sin quantities indicated. 2 ta 41. sin 20 = 43. sin 20 = 2 sin %3D 3 44. cot 0 = t sin 1 + tan(0/2) 45. 4. 24 1- tan(0/2) (b) cos 20 17. (a) sin 20 18. (a) sin 2t 19. (a) sin 26 20. (a) sin 2s 21. (a) sin(0/2) 22. (a) sin(s/2) 23. (a) sin(B/2) 24. (a) sin(t/2) 46. tan 0 + cot 0 (c) tan 20 (c) tan 2t (c) tan 28 (c) tan 2s (c) tan(0/2) (c) tan(s/2) (c) tan(B/2) (c) tan(t/2) (b) cos 2t (b) cos 2B 47. 2 sin?(45° – 48. (sin 0 - cos 49.1+tan 0 tan (b) cos 2s (b) cos(0/2) (b) cos(s/2) (b) cos(B/2) (b) cos(t/2) 50. tan( + 0)- 51. If tan a = 1/ that 0
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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#25
Transcribed Image Text:гтula
to
13. (a) sin(77/12)
(b) cos(/12)
(c) tan(7/12)
14. (a) sin(/8)
In Exercises 35–50,
TT
(b) cos(7/8)
(c) tan(/8)
TT
35. cos 2s =
1-t
15. (a) sin 105°
(b) cos 105°
7T
16. (a) sin 165°
37. cos 0 =2 cos
(b) cos 165°
(c) tan 165°
sin 20
38.
sin 0
Cos 2
(c) tan 105°
CoSe
3-4
39. sin* 0 =
In Exercises 17–24, refer to the two triangles and compute the
%3D
40. sin 30 = 3 sin
quantities indicated.
2 ta
41. sin 20 =
43. sin 20 = 2 sin
%3D
3
44. cot 0 =
t
sin
1 + tan(0/2)
45.
4.
24
1- tan(0/2)
(b) cos 20
17. (a) sin 20
18. (a) sin 2t
19. (a) sin 26
20. (a) sin 2s
21. (a) sin(0/2)
22. (a) sin(s/2)
23. (a) sin(B/2)
24. (a) sin(t/2)
46. tan 0 + cot 0
(c) tan 20
(c) tan 2t
(c) tan 28
(c) tan 2s
(c) tan(0/2)
(c) tan(s/2)
(c) tan(B/2)
(c) tan(t/2)
(b) cos 2t
(b) cos 2B
47. 2 sin?(45° –
48. (sin 0 - cos
49.1+tan 0 tan
(b) cos 2s
(b) cos(0/2)
(b) cos(s/2)
(b) cos(B/2)
(b) cos(t/2)
50. tan( + 0)-
51. If tan a = 1/
that 0<a <
tan(a + B).
%3D
52. Let z = tan 6
In Exercises 25-28, use the given information to express sin 20
and cos 20 in terms of x.
(a) cos 20 =
(b) Explain
25. x = 5 sin 0 with 0<0 <
26. x = V2 cos 0 with 0<0 <
27. x-1 2 sin 0 with 0<0 <5
28. x + 1 = 3 sin 0 with <0 <T
cos 20 a
53. (a) Use a ca
a root o
(b) Use the
Exampl
In Exercises 29-32, express each quantity in a form that
does not involve powers of the trigonometric functions
(as in Example 4).
root of
Hint: I
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