IDENTIDADES TRIGONOMETRICAS

1. III.1 tan a¿sen acosa

2. III.2 cot a¿cosasen a

FUNCIONES RECIPROCAS

3. III.3 sen a¿1csc a

4. III.4 cos a¿1sec a

5. III.5 tan a¿1cot a

6. III.6 csc a¿1sen a

7. III.7 cot a¿1tana

8. III.8 sec a¿1cosa

IDENTIDADES DEL ANGULO MITAD

9. III.25 sen a2 = ± √ 1−cosa2

10. III.26 cos a2 = ± √ 1−cosa2

11. III.27 tan a2 = ± √ 1−cosa1+cosa

PROPIEDADES LOGARITMICAS

12. III.28 in ab = in a – inb

13. III.29 nInv = invn

14. III.30 in ab = ina + inb

FUNCIÓN PITAGORICA

15. III.9 Sen2a + cos2 a = 1

16. III.10 Sen2a = 1 - cos2 a

17. III.11 cos2a = 1 - sen2 a

OTRAS EQUIVALENCIAS DE LA FUNCIÓN PITAGORICA

18. III.12 tan2a = 1 - sec2 a - 1

19. III.13 sec2a = 1 + tan2 a

20. III.14 cot2a = csc2 a - 1

21. III.15 csc2a = 1 + cos2 a

IDENTIDADES DEL AMGULO DOBLE

22. III.16 sen a = 2 sen a cos a

23. III.17 cos 2a = cos2a - sen2 a

24. III.18 tan 2a = 2+ tan a2−ta n2a

IDENTIDADES DE LA SUMA Y DIFERENCIA DE DOS ÁNGULOS

25. III.19 sen (a + b) = sen a cos b + sen b cos a

26. III.20 sen (a – b) = sen a cos b – sen b cos a

27. III.21 cos (a + b) = cos a cos b – sen a sen b

28. III.22 cos (a – b) = cos a cos b + sen a sen b

29. III.23 tan (a + b) = tan a+ tan b1−tan a tan b

30. III.24 tan (a - b) = tan a−tan b1+ tan a tanb