TRIGONOMETRIC FUNCTIONS

TRIGONOMETRIC FUNCTIONS

Some basic information or laws

1. SinA=BC/AC=ALTITUDE/HYPOTENEWS
2. CosA=AB/AC=BASE/HYPOTENEWS
3. TanA=BC/AB=ALTITUDE/BASE
4. CosecA=AC/BC=HYPOTENEWS/ALTITUDE
5. SecA=AC/AB=HYPOTENEWS/BASE
6. CotA=AB/BC=BASE/ALTITUDE
7. SinA.CosecA=1
8. CosA.SecA=1
9. TanA.CotA=1
10. Sin²A + Cos²A =1
11. Cosec²A - Cot²A =1
12. Sec²A - Tan²A =1
13. TanA= SinA/CosA
14. CotA= cosA/SinA
15. Sin30 = cos60 = 1/2
16. Sin45 = cos45 = 1/√2
17. Sin60 = Cos30 =√3/2
18. Sin90 = Cos0 = 1
19. Sin0 = cos90 = 0
20. Tan0 = cot90 = 0
21. Tan30 = cot60 = 1/√3
22. Tan60 = cot30 = √3
23. Tan45 = cot45 = 1
24. Tan90 = cot0 = ∞
25. Sin(A+B) = SinACosB + CosASinB
26. Sin(A-B) = SinACosB - CosASinB
27. Cos(A+B) = CosACosB - SinASinB
28. Cos(A–B) = CosACosB + SinASinB
29. Sin(A+B)Sin(A–B) = Sin²A – Sin²B = Cos²B – Cos²A
30. Cos(A+B)cos(A–B) = cos²A – sin²B = cos²B – sin²A
31. Tan(A+B) = (tanA+tanB) / (1–tanAtanB)
32. Tan(A–B) = (tanA–tanB) / (1+tanAtanB)
33. Cot(A+B) = (cotAcotB –1) / (cotA+cotB)
34. Cot(A–B) = (cotAcotB +1) / (cotB–cotA)
35. Tan(A+B+C) = (tanA + tanB + tanC –tanAtanBtanC) / (1– tanAtanB –tanBtanC – tanCtanA)