Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos:...

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Prof. Diego Viug

Transcript of Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos:...

Page 1: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

Prof. Diego Viug

Page 2: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q
Page 3: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

TRIÂNGULO RETÂNGULO

Elementos:

hipotenusa

e catetos

Page 4: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

RAZÕES TRIGONOMÉTRICAS

bsen

a

ccos

a

btg

c

ctg

b

bcos

a

csen

a

Page 5: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

EXEMPLOS

5sen

13

12cos

13

5tg

12

12tg

5

5cos

13

12sen

13

Page 6: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

PROPRIEDADE DOS ARCOS COMPLEMENTARES

Exemplos:

sen x cos (90 x)

tg x tg (90 x) 1

sen 30 cos 60

tg 30 tg 60 1 sen 45 cos 45 1

sen 45 cos 45

Page 7: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

RELAÇÃO FUNDAMENTAL DA TRIGONOMETRIA

bsen

a

ccos

a

22

2

bsen

a

22

2

ccos

a

2 22 2

2 2

b csen cos

a a

2 2 22 2

2 2

b c asen cos 1

a a

Page 8: Prof. Diego Viug - Amazon Simple Storage Service · PROPRIEDADE DOS ARCOS COMPLEMENTARES Exemplos: sen x cos (90 x) 1 0 tg 30 tg 60 1 sen 45 cos 45 sen 45 cos 45 1q q qq q q q

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cristobalespino.escristobalespino.es/MAT2/153-Integrales.pdf · c) ∫x cos 3x dx ∫x cos 3x dx = sen 3x – ∫sen 3x dx = sen 3x + cos 3x + k d)∫x5 e–x3 dx = ∫x3 · x2 e–x3

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