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
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e33d8a8-4a77-428f-baec-aa6f37a9e0af%2F2abca3c7-3f78-49b6-bbf6-4e753778ccde%2Fvds5rys_processed.jpeg&w=3840&q=75)
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