The document defines 24 trigonometric functions with their domains and ranges. For each function, the domain and range are provided. The most common domains are (-∞, +∞) and the most common ranges are [-1, +1]. A few functions have different domains that exclude specific values like multiples of pi. But overall, the document concisely defines 24 trigonometric functions with their domains and ranges.

1. UNIDAD EDUCATIVA TECNICO SALESIANO
NOMBRE: Edwin Arce
CURSO: 2C2
1. Y=sin(x)
Dom=(-∞;+∞)
Ran=[-1;+1]
2. Y=cos(x)
Dom=(-∞;+∞)
Ran=[-1;+1]

2. 3. Y=sin(-x)
Dom=(-∞;+∞)
Ran=[-1;+1]
4. Y=-sin(x)
Dom=(-∞;+∞)
Ran=[-1;+1]

3. 5. Y=cos(-x)
Dom=(-∞;+∞)
Ran=[-1;+1]
6. Y=sin(x+π/2)
Dom=(-∞;+∞)
Ran=[-1;+1]

4. 7. Y=cos(x-π/2)
Dom=(-∞;+∞)
Ran=[-1;+1]
8. Y=tan(x)
Dom=R - {x/2+nπ/nԑz}
Ran=[-1;+1]

5. 9. Y=sec(x)
Dom=R–((2k+1)*π/2,kez)=R-(…,-R/2,R/2,3R/2,…)
Ran=[-1;+1]
10. Y=csc(x)
Dom=R–{K*π,KeZ}=R-{…,-π,0,π,…}
Ran=[-1;+1]

6. 11. Y=1
Dom=(-∞;+∞)
Ran=[0;+1]
12. (x)
Dom=R–{(2k+1)*π/2, kԑZ}=R-{…,-π/2,π/2,3π/2,…}
Ran=[1; +∞]

7. 13. Y= (x)
Dom=R–{k*π, kԑZ}=R-{…,-π,0,π,…}
Ran=[1; +∞]
14.
Dom=R–{(2k+1)*π/2, kԑZ}=R-{…,-π/2,π/2,3π/2,…}
Ran=[1; +∞]

8. 15. Y=
Dom=R–{k*π, kԑZ}=R-{…,-π,0,π,…}
Ran=[2; +∞]
16. Y=
Dom=(-∞;+∞)
Ran=[2;+∞]

9. 17. Y=(sin x/cos x)
Dom=R–{(2k+1)*π/2, kԑZ}=R-{…,-π/2,π/2,3π/2,…}
Ran=[-∞; +∞]
18. Y=sin(
Dom=(-∞;+∞)
Ran=[-1;+1]

10. 19. Y=cos(
Dom=(-∞;+∞)
Ran=[-1;+1]
20. Y=sen(x) cos(10x)
Dom=(-∞;+∞)
Ran=[-1;+1]

11. 21. Y=sen(x) cos(20x)
Dom=(-∞;+∞)
Ran=[-1;+1]
22. Y=sen(x) cos(50x)
Dom=(-∞;+∞)
Ran=[-1;+1]

12. 23. Y=sen(x) cos(60x)
Dom=(-∞;+∞)
Ran=[-1;+1]
24. Y=sen(x) cos(100x)
Dom=(-∞;+∞)
Ran=[-1;+1]