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Gabriel Ayala
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GRÁFICAS DE FUNCIONES
A CONTINUACIÓN LES MITRAREMOS DISTINTAS GRAFICAS DE FUNCIONES TRIGONOMETRICAS
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GRÁFICAS DE FUNCIONES
1.
UNIDAD EDUCATIVA TECNICO
SALESIANO Nombre Gabriel Ayala Curso: 2 c2 Tema: Graficas en derive Activad N°: 1 Materia: Trigonometría y Geometría Profesor: Ing. Diego Cují Fecha: 29-11-2012
2.
Funciones Sencillas 1. Y=sin(x)
Dom(x)= (-∞;+∞) Ran(y)= (-1;+1) 2. Y=cos(x) Dom(x)= (-∞;+∞) Ran(y)= (-1;+1) 3. Y=sin(-x) Dom(x)= (-∞;+∞) Ran(y)= (-1;+1)
3.
4. Y=-sin(x)
Dom(x)= (-∞;+∞) Ran(y)= (-1;+1) 5. Y=cos(-x) Dom(x)= (-∞;+∞) Ran(y)= (-1;+1) 6. Y=sin Dom(x)= (-∞;+∞) Ran(y)= (-1;+1) 7. Y=cos
4.
Dom(x)= (-∞;+∞)
Ran(y)= (-1;+1) 8. Y=tan(x) Dom(x)=(-∞;+∞) Ran(y)= (-∞;+∞) 9. Y=sec(x) Dom(x)=(-∞;+ ∞) Ran(y)= (1;+∞)U(-1;-∞)
5.
10. Y=csc(x)
Dom(x)=(-∞;+ ∞) Ran(y)= (1;+∞)U(-1;-∞) Funciones Complejas 11. Y=1 Dom(x)=(-∞;+ ∞) Ran(y)= (1) 12. Y=sec2(x) Dom(x)= (--∞;+ ∞) Ran(y)= (1;-∞)
6.
13. Y=csc2(x)
Dom(x)= (--∞;+ ∞) Ran(y)= (1;-∞) 14. Y=1+tan2(x) Dom(x)= (--∞;+ ∞) Ran(y)= (1;-∞) 15. Y=1+csc2(x) Dom(x)=(2;+ ∞) Ran(y)= (-∞;+∞) 16. Y=sin2(x)+cos2(x)
7.
Dom(x)=(1)
Ran(y)= (-∞;+∞) 17. Y= Dom(x)=(-∞;+∞) Ran(y)= (-∞;+∞) 18. Y=sin(x2) Dom(x)=(-∞;+∞) Ran(y)=(1;-1)
8.
19. Y=cos(x2)
Dom(x)=(-∞;+∞) Ran(y)=(1;-1) Para estas gráficas, sobre montar primero la y=sin(x) 20. Y=sin(x)cos(10x) Dom(x)= (-∞;+∞) Ran(y)=(1;-1) 21. Y=sin(x)cos(20x) Dom(x)=(-∞;+∞) Ran(y)=(1;-1) 22. Y=sin(x)cos(50x)
9.
Dom(x)=(-∞;+∞)
Ran(y)=(1;-1) 23. Y=sin(x)cos(60x) Dom(x)= (-1;+1) Ran(y)= (-∞;+∞) 24. Y=sin(x)cos(100x) Dom(x)= (-∞;+∞) Ran(y)= (-∞;+∞)
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