trigonometri a

tales
1. csc(x) = 1
sin(x)
2. sec(x) = 1
cos(x)
3. tan(x) = sin(x)
cos(x)
4. cot(x) = cos(x)
tan(x)
5. 1 + tan2
(x) =sec2
(x) 6. 1 + cot2
(x) = csc2
(x)
7. sin(x) = sin(x) 8. cos(x) = cos(x)
9. tan(x) = tan(x) 10. sin
2
x

= cos(x)
11.cos
2
x

= sin(x) 12. tan
2
x

= cot(x)
Formulas de Suma y Resta de Angulos
1. sin(x + y) = sin(x) cos(y) + cos(x) sin(y)2. sin(x y) = sin(x) cos(y) cos(x) sin(y)
3. cos(x + y) = cos(x) cos(y) sin(x) sin(y) 4. cos(x y) = cos(x) cos(y) + sin(x)sin(y)
5. tan(x + y) = tan(x) + tan(y)
1 tan(x) tan(y)
6. tan(x y) = tan(x) tan(y)
1 + tan(x) tan(y)
Identidades de Productos1. sin2
(x) = 1
2
(1 cos (2x)) 2. cos2
(x) = 1
2
(1 + cos (2x))
3. sin (x) cos (x) = 1
2
sin (2x) 4. sin (x) sin (y) = 12
(cos (x y) cos (x + y))
5. sin (x) cos (y) = 1
2
(sin (x y) + sin (x + y)) 6. cos (x) cos (y) = 1
2
(cos (x y) + cos (x+ y))
Formulas del Doble de un Angulo
1. sin (2x) = 2 sin (x) cos (x) 2. cos (2x) = cos2
(x) sin2
(x)
3. cos (2x) = 2 cos2(x) 1 4. tan (2x) = 2 tan (x)
1 tan2
(x)
(c) DepComprobar las identidades trigonométricas:
1




2




3



45



6

 
7




Simplificar las fracciones:
1



2



3

artamento de Matematicas. ITESM, Campus