Trig Properties

Card Set Information

Author:
ffarouk
ID:
41744
Filename:
Trig Properties
Updated:
2010-10-17 16:54:30
Tags:
QBIC Calculus trig
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Description:
Tirg Properties
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  1. tan
    1/cot or sin/cos
  2. sec
    1/cos
  3. csc
    1/sin
  4. cot
    cos/sin
  5. tan, sin, csc, cot
    Odd trig finction with pi(k),
  6. cos, sec
    Even trig functions with 2(pi)(k)
  7. Graph: sin
    Domain: all real numbers

    Range: -1, 1 (closed)

  8. Graph: cos
    Domain: all real numbers

    Range: -1,1 (closed)

  9. Graph: csc
    Domain: all real numbers, expect that theta = (pi)k; k any integer

    Range: -infinity (open) to -1 (close) Union 1 (closed) to +infinity (open)

  10. Graph: sec
    Domain: all real numbers, expect that theta = (pi/2)k; k any odd integer

    Range: -infinity (open) to -1 (close) Union 1 (closed) to +infinity (open)

  11. Graph: tan
    Domain: all real numbers, expect that theta = (pi/2)k; k any odd integer

    Range: all real numbers

  12. Gaph: cot
    Domain: all real numbers, expect that theta = (pi)k; k an integer

    Range: all real numbers

  13. Graph: sin-1
    Domain: [-1 , 1]

    Range: [-pi/2 , pi2]

  14. Graph: cos-1
    Domain: [-1 , 1]

    Range: [0 , pi]

  15. Graph: tan-1
    Domain: all real numbers

    Range: ( -pi/2 , pi/2)

  16. Graph: cot-1
    Domain: all real numbers

    Range: (0 , pi)

  17. Graph: sec-1
    Domain: (-infinity , -1] U [1 , +infinity)

    Range: [0 , pi] NOT including pi/2

  18. Graph: csc-1
    Domain: (-infinity , -1] U [1 , +infinity]

    Range: [-pi/2 , pi/2] NOT including 0

  19. Double Angle Foumula:

    sin(2x) =
    2sin(x)cos(x)
  20. Double Angle Formula:

    cos2(x) - sin2(x)
    2cos2(x) - 1
  21. Derivative: sin(x)
    cos(x)
  22. Derivative: cos(x)
    -sin(x)
  23. Derivative: tan(x)
    sec2(x)
  24. Derivative: cot(x)
    -csc2(x)
  25. Derivative: sec(x)
    sec(x)tan(x)
  26. Derivative: csc(x)
    -csc(x)cot(x)
  27. Double Angle Formula:

    cos(2x)
    1-2sin2(x)

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