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Flashcards

Master Trig Set

Andrew Swenson Engineering Inglês 51 flashcards

Flashcards do conjunto (51)

  1. 1sin^2(x)+cos^2(x) (Pythagorean)1
  2. 21+cot^2(x) (Pythagorean)csc^2(x)
  3. 3tan^2(x)+1 (Pythagorean)sec^2(x)
  4. 41/sin(x) (Inverse)csc(x)
  5. 51/cos(x) (Inverse)sec(x)
  6. 61/tan(x) (Inverse)cot(x)
  7. 7sin(-x) (Negative Angle)-sin(x)
  8. 8cos(-x) (Negative Angle)cos(x)
  9. 9tan(-x) (Negative Angle)-tan(x)
  10. 10csc(-x) (Negative Angle)-csc(x)
  11. 11sec(-x) (Negative Angle)sec(x)
  12. 12cot(-x) (Negative Angle)-cot(x)
  13. 13sin(( π/2)-x) (Phase Shift)cos(x)
  14. 14cos((π/2)-x) (Phase Shift)sin(x)
  15. 15tan((π/2)-x) (Phase Shift)cot(x)
  16. 16csc((π/2)-x) (Phase Shift)sec(x)
  17. 17sec((π/2)-x) (Phase Shift)csc(x)
  18. 18cot((π/2)-x) (Phase Shift)tan(x)
  19. 19sin(x+y) (Addition)sin(x)*cos(y)+sin(y)*cos(x)
  20. 20sin(x-y) (Subtraction)sin(x)*cos(y)-sin(y)*cos(x)
  21. 21cos(x+y) (Addition)cos(x)*cos(y)-sin(x)*sin(y)
  22. 22cos(x-y) (Subtraction)cos(x)*cos(y)+sin(x)*sin(y)
  23. 23tan(x+y) (Addition)(tan(x)+tan(y))/(1-tan(x)*tan(y))
  24. 24tan(x-y) (Subtraction)(tan(x)-tan(y))/(1+tan(x)*tan(y))
  25. 25Law of Sinesa/sin(A)=b/sin(B)=c/sin(C)
  26. 26Law of Cosinesa^2=b^2+c^2-2b*c*cos(A)
  27. 27sin(x/2) (Half Angle)±√((1-cos(x))/2)
  28. 28cos(x/2) (Half Angle)±√((1+cos(x))/2)
  29. 29tan(x/2) (Half Angle)(1-cos(x))/sin(x)
  30. 30sin(x)*sin(y) (Product)1/2(cos(x-y)-cos(x+y))
  31. 31cos(x)*sin(y) (Product)1/2(cos(x-y)+cos(x+y))
  32. 32sin(x)*cos(y) (Product)1/2(sin(x+y)+sin(x-y))
  33. 33cos(x)*cos(y) (Product)1/2(sin(x+y)+sin(x-y))
  34. 34sin(2x) (Double Angle)2sin(x)*cos(x)
  35. 35cos(2x) (Double Angle)cos(x)^2-sin(x)^2 or 1-2sin(x)^2 or 2cos(x)^2-1
  36. 36tan(2x) (Double Angle)2tan(x)/(1-tan(x)^2)
  37. 37Area of a Triangle (not simple).5a*b*sin(C)
  38. 38Area of a Triangle (really not simple)√(s(s-a)(s-b)(s-c)), where s=1/2(a+b+c)
  39. 39sin(x)+sin(y)2sin((x+y)/2)*cos((x-y)/2)
  40. 40sin(x)-sin(y)2sin((x-y)/2)*cos((x+y)/2)
  41. 41sin(x)^2 (Half Angle).5(1-cos(2x))
  42. 42cos(x)^2 (Half Angle).5(1-cos(2x))
  43. 43sin(x)cos(x) (Half Angle)sin(2x)/2
  44. 44sin(2x) (Double Angle)2sin(x)*cos(x)
  45. 45cos(2x) (Double Angle)cos(x)^2-sin(x)^2 or 1-2sin(x)^2 or 2cos(x)^2-1
  46. 46dsin(x)cos(x)dx
  47. 47dcos(x)-sin(x)dx
  48. 48dtan(x)sec(x)^2dx
  49. 49dcsc(x)-csc(x)*cot(x)dx
  50. 50dsec(x)sec(x)tan(x)dx
  51. 51dcot(x)-csc(x)^2

Informações

Descrição
All the trig I need to know, and all the trig you probably need to know too. Small letters correspond to numbers and big letters correspond to angles.
Criado por
Andrew Swenson
Visualizações
2
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