1/9 (с) + COS u SIh a cos a 2 tan 0 (d) + 4. True or False tan(20) 1 + cos a 1 - tan? 0 - True or False sin (20) has two equivalent forms: 1 8. Multiple Choice If sin a = ± cos 0 then which 2 sin 0 cos 0 and sin? 0 - cos? e statement describes how 0 is related to a? 6. True or False tan (20) + tan(20) = tan(40) (а) 0 — а (b) 0 =5 (c) 0 = 2a (d) e = a? Skill Building In Problems 9-20, use the information given about the angle 0,0 < 0 < 27, to find the exact value of: (a) sin (20) (b) cos (20) (c) sin (d) cos 2 2. T 9. sin 0 = 0 < 0 < 10. cos 0 = 3 0 < 0 < - T < 0 < 3' 11. tan 0 = 2 V6 13. cos 0 = - 3 1 V3 37 T < 0 < 2' < 0 < T 12. tan 0 = 14. sin 0 = < 0 < 27 2 15. sec 0 = 3, sin 0 > 0 16. csc 0 = - V5, cos <0 17. cot 0 = -2, sec 0 < 0 18. sec 0 = 2, csc 0 < 0 19. tan 0 = -3, sin 0 < 0 20. cot 0 = 3, cos 0 < 0 In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. \ 21. sin 22.5° 22. cos 22.5O 23. tan 8 24. tan 8 mace 157 27. sec 8 7 28. csc 8 25. cos 165° 26. sin 195° 29. sin 30. cos - 8 ele f the t sin x, g(x) In Problems 31-42, f(x) = tan x. Use the figures below to evaluate each function. = cos x, and h(x) y y 31. f(20) 32. g(20) x2 + y2 = 1 x2 + y2 = 5 (х, 2) 33. 2) in 34. f 35. h(20) egual 36. h

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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13,19 plz
1/2
(c) ±
COs a
sin a
cos a
2 tan 0
(d) +
4. True or False tan(20)
1 + cos a
1 - tan? 0
- True or False sin (20) has two equivalent forms:
8. Multiple Choice If sin a = ±
- cos e
then which
cos² 0
2
statement describes how 0 is related to a?
2 sin 0 cos 0 and sin? 0 –
6. True or False tan (20) + tan(20) = tan ( 40)
(a) 0 = a
(b) 0 =
= (c) 0 = 2a
(d) 0 = a?
Skill Building
In Problems 9–20, use the information given about the angle 0,0 < 0 < 27, to find the exact value of:
(a) sin (20)
(b) cos (20)
(c) sin
(d) cos ;
3
0 < 0 <
5'
TT
3
0 < 0 <
5'
4
9. sin 0 =
10. cos 0 =
T < 0 <
3'
2
11. tan 0 =
2
1
T < 0 <
2
V3
14. sin 0 = -
Ormula
13. cos e =
< 0 < T
< 0 < 2m
12. tan 0 =
2
3 2
15. sec 0 = 3, sin 0 > 0
16. csc e = -'
- V5, cos 0 < 0
17. cot 0 = -2, sec 0 <0
18. sec 0 = 2, csc 0 < 0
19. tan 0 = -3, sin 0 < 0
20. cot 0 = 3, cos 0 <0
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression.
23. tan
8
9TT
24. tan
8
21. sin 22.5°
22. cos 22.50
15т
27. sec
8
28. csc
8
25. cos 165°
26. sin 195°
30. cos( -)
29. sin
8
nie
8
angle f the threw
In Problems 31-42, f(x) = sin x, g (x)
= cos x, and h(x) = tan x. Use the figures below to evaluate each function.
200nie
y t
y
31. f(20)
32. g(20)
x2 + y2 = 1
x2 + y2 = 5
(х, 2)
33. g
34. f
co
35. h(20) .eguival
36. h
Transcribed Image Text:1/2 (c) ± COs a sin a cos a 2 tan 0 (d) + 4. True or False tan(20) 1 + cos a 1 - tan? 0 - True or False sin (20) has two equivalent forms: 8. Multiple Choice If sin a = ± - cos e then which cos² 0 2 statement describes how 0 is related to a? 2 sin 0 cos 0 and sin? 0 – 6. True or False tan (20) + tan(20) = tan ( 40) (a) 0 = a (b) 0 = = (c) 0 = 2a (d) 0 = a? Skill Building In Problems 9–20, use the information given about the angle 0,0 < 0 < 27, to find the exact value of: (a) sin (20) (b) cos (20) (c) sin (d) cos ; 3 0 < 0 < 5' TT 3 0 < 0 < 5' 4 9. sin 0 = 10. cos 0 = T < 0 < 3' 2 11. tan 0 = 2 1 T < 0 < 2 V3 14. sin 0 = - Ormula 13. cos e = < 0 < T < 0 < 2m 12. tan 0 = 2 3 2 15. sec 0 = 3, sin 0 > 0 16. csc e = -' - V5, cos 0 < 0 17. cot 0 = -2, sec 0 <0 18. sec 0 = 2, csc 0 < 0 19. tan 0 = -3, sin 0 < 0 20. cot 0 = 3, cos 0 <0 In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. 23. tan 8 9TT 24. tan 8 21. sin 22.5° 22. cos 22.50 15т 27. sec 8 28. csc 8 25. cos 165° 26. sin 195° 30. cos( -) 29. sin 8 nie 8 angle f the threw In Problems 31-42, f(x) = sin x, g (x) = cos x, and h(x) = tan x. Use the figures below to evaluate each function. 200nie y t y 31. f(20) 32. g(20) x2 + y2 = 1 x2 + y2 = 5 (х, 2) 33. g 34. f co 35. h(20) .eguival 36. h
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