Razones trigonométricas recíprocas 5º
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Transcript of Razones trigonométricas recíprocas 5º
![Page 1: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/1.jpg)
RAZONESTRIGONOMÉTRICAS
RECÍPROCAS
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Sen .Csc = 1Cos .Sec = 1Tg .Ctg = 1
![Page 3: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/3.jpg)
Ejemplo 01:
Halla el valor de “x” en:
Sen4x.Csc48º = 1
![Page 4: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/4.jpg)
Ejemplo 02:
Halla el valor de “x” en:
Cos(60º – 5x).Secx = 1
![Page 5: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/5.jpg)
APRENDIZAJEPREVIO
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Problema 01:
Halla “x”. Si:
Tg4x.Ctg60º.Sen30º.Csc30º = 1
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Problema 02:
Halla el valor de “x” en:
Sen4x . Csc40º = 1
![Page 8: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/8.jpg)
Problema 03:
Calcula "x":
Cos(4x + 20º) . Sec(50º – x) = 1
![Page 9: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/9.jpg)
Problema 04:
Calcula "x":
Cos4x . Sec60º = 1
![Page 10: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/10.jpg)
Problema 05:
Calcula "x":
Tg3x . Ctg60º = 1
![Page 11: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/11.jpg)
Problema 06:
Calcula "x":
Tg3x . Ctg(x + 40º) = 1
![Page 12: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/12.jpg)
Problema 07:
Calcula "x":
Cos(2x – 10º) . Sec(x + 30º) = 1
![Page 13: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/13.jpg)
Problema 08:
Calcula "x":
Sen(3x – 42º) . Csc(18º – 2x) = 1
![Page 14: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/14.jpg)
Problema 09:
Calcula “y”:
Tg(2y – 30º) . Ctg(30º – y) = 1
![Page 15: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/15.jpg)
Problema 10:
Calcula “y”:
Tg(3y – 60º) . Ctg(40º – y) = 1
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Problema 01:
Calcula x:
Tg(3x – 10º) .Tg70º = 1
![Page 18: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/18.jpg)
Problema 02:
Calcula “x” e “y” si:
Tg(x + 10º)Ctg(30º + y) = 1Sen(x + 5º) = Cos(y + 5º)
![Page 19: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/19.jpg)
Problema 03:
Halla:Sen(x + 20º)
Si: Sen(2x + 20º).Sec(80º – 3x) = 1
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Problema 04:
Halla “x” si:
Cos(2x – 10º)Sec(x + 30º) = 1
![Page 21: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/21.jpg)
Problema 05:
Halla “x” si:
º75
º15º40º40)82(ctg
tgCscSenxSec
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Problema 06:
Si: x, y, z son ángulos agudos y: Sen(x + 60º) = cos (y – 37º)Ctg(z – 37º) = Tg (45º + x)Csc(y – 15º) = sec (z + 30º)
Calcula: x + z – y
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Problema 07:
Calcula:
(tg 20º + ctg70º)(ctg20º + tg70º)
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Problema 01:
Calcula x:
Tg(7x + 12º) = Ctg(8x – 27º)
![Page 26: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/26.jpg)
Problema 02:
Calcula x:
Cos(2x – 10º)Sec(x + 30º) = 1
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Problema 03:
Calcula «x» e «y»:
Sec(x + y + 5º) – Csc(2y – x + 40º) = 0
Tg(3x – y)Ctg(2x + y) = 1
![Page 28: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/28.jpg)
Problema 04:
Calcula «x»:
Tg(2x + 10º) = Ctg(x – 40º)
![Page 29: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/29.jpg)
Problema 05:
Calcula «x»:
Sen(3x – 42º)Csc(18º - 2x) = 1
![Page 30: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/30.jpg)
Problema 06:
Calcula «x»:
Tg5xCtg(x + 40º) = 1
![Page 31: Razones trigonométricas recíprocas 5º](https://reader033.fdocument.pub/reader033/viewer/2022061400/55ccd067bb61eb13528b45bf/html5/thumbnails/31.jpg)
Problema 07:
Calcula «x»:
E = (3Sen40º + 4Cos50º)Csc40º