1 trigonometria
TRANSCRIPT
![Page 1: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/1.jpg)
1
TrigonometriaA palavra Trigonometria vem do grego trigonos - triângulo – e métron – medida -, o que significa a
medida de triângulos
![Page 2: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/2.jpg)
2
Teorema de Pitágoras
![Page 3: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/3.jpg)
3
Semelhança de triângulos
![Page 4: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/4.jpg)
4
Razões trigonométricas de um ângulo agudo
![Page 5: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/5.jpg)
5
Atividades diagnósticas
![Page 6: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/6.jpg)
6
![Page 7: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/7.jpg)
7
![Page 8: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/8.jpg)
8
As razões trigonométricas e as calculadoras
![Page 9: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/9.jpg)
9
Exercícios
![Page 10: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/10.jpg)
10
![Page 11: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/11.jpg)
11
![Page 12: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/12.jpg)
12
Razões trigonométricas de 30º, 45º e 60º - ficha de trabalho
![Page 13: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/13.jpg)
13
![Page 14: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/14.jpg)
14
![Page 15: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/15.jpg)
15
Resolução de problemas envolvendo razões trigonométricas de um triângulo retângulo
![Page 16: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/16.jpg)
16
![Page 17: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/17.jpg)
17
![Page 18: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/18.jpg)
18
Resolução de exercícios
![Page 19: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/19.jpg)
19
![Page 20: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/20.jpg)
20
![Page 21: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/21.jpg)
21
![Page 22: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/22.jpg)
22
![Page 23: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/23.jpg)
23
![Page 24: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/24.jpg)
24
![Page 25: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/25.jpg)
25
Ângulo orientado
![Page 26: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/26.jpg)
26
Ângulo e arco generalizado
![Page 27: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/27.jpg)
27
![Page 28: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/28.jpg)
28
Representação de um ângulo orientado
![Page 29: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/29.jpg)
29
![Page 30: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/30.jpg)
30
O radiano
![Page 31: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/31.jpg)
31
![Page 32: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/32.jpg)
32
![Page 33: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/33.jpg)
33
![Page 34: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/34.jpg)
34
![Page 35: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/35.jpg)
35
Comprimento de um arco de circunferência
![Page 36: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/36.jpg)
36
Área do setor circular
![Page 37: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/37.jpg)
37
![Page 38: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/38.jpg)
38
“A confusão do relógio”-ficha de trabalho
![Page 39: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/39.jpg)
39
![Page 40: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/40.jpg)
40
O círculo trigonométrico
![Page 41: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/41.jpg)
41
P1_circulo_pag52.ggb
![Page 42: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/42.jpg)
42
![Page 43: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/43.jpg)
43
![Page 44: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/44.jpg)
44
![Page 45: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/45.jpg)
45
![Page 46: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/46.jpg)
46
Sinal e variação das razões trigonométricas
![Page 47: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/47.jpg)
47
![Page 48: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/48.jpg)
48
“Variação das razões trigonométricas”-ficha de trabalho
![Page 49: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/49.jpg)
49
![Page 50: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/50.jpg)
50
Relações trigonométricas
![Page 51: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/51.jpg)
51
![Page 52: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/52.jpg)
52
![Page 53: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/53.jpg)
53
![Page 54: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/54.jpg)
54
Formulas trigonométricas
![Page 55: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/55.jpg)
55
:sin𝛼
![Page 56: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/56.jpg)
56
:cos𝛼
![Page 57: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/57.jpg)
57
![Page 58: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/58.jpg)
58
Questão 15, página 47
![Page 59: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/59.jpg)
59
![Page 60: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/60.jpg)
60
![Page 61: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/61.jpg)
61
Exercícios de revisão
![Page 62: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/62.jpg)
62
![Page 63: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/63.jpg)
63
![Page 64: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/64.jpg)
64
![Page 65: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/65.jpg)
65
Estudo de uma função◦ Período:
Funções trigonométricas
![Page 66: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/66.jpg)
66
Faz o estudo da função em relação ao:Domínio; contradomínio; período; paridade; variação / monotonia; extremos; zeros
P1_sin_pag54.ggb
![Page 67: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/67.jpg)
67
Faz o estudo da função em relação ao:Domínio; contradomínio; período; paridade; variação / monotonia; extremos; zeros
P1_cos_1_pag56.ggb
![Page 68: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/68.jpg)
68
Faz o estudo da função em relação ao:Domínio; contradomínio; período; paridade; variação / monotonia; extremos; zeros
P1_tan_pag58.ggb
![Page 69: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/69.jpg)
69
Vamos fazer o estudo de
Caderno!!!
Transformações das funções
![Page 70: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/70.jpg)
70
Pg 69 (só este)
![Page 71: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/71.jpg)
71
![Page 72: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/72.jpg)
72
EMExercícios de revisão
![Page 73: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/73.jpg)
73
![Page 74: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/74.jpg)
74
![Page 75: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/75.jpg)
75
DESENVOLVIMENTO
![Page 76: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/76.jpg)
76
![Page 77: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/77.jpg)
77
Equações trigonométricas
![Page 78: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/78.jpg)
78
![Page 79: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/79.jpg)
79
![Page 80: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/80.jpg)
80
![Page 81: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/81.jpg)
81
![Page 82: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/82.jpg)
82
Exercícios de revisão
![Page 83: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/83.jpg)
83
![Page 84: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/84.jpg)
84
![Page 85: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/85.jpg)
85
![Page 86: 1 trigonometria](https://reader033.vdocuments.mx/reader033/viewer/2022061608/587282381a28abc7068b674d/html5/thumbnails/86.jpg)
86