Trig

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Author:
tenorsextets
ID:
39009
Filename:
Trig
Updated:
2010-10-06 03:08:56
Tags:
trig
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Description:
trig functions and graphs
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  1. What is the equation for a graph of a trig function?
    y= K+A[function](Bx+C)
  2. What does K do?
    Vertical shift
  3. What does A do?
    Phase (horizontal) shift, negative numbers flip the graph
  4. What is the equation for the period of Sine/Cosecant and Cosine/Secant?
    2π/B
  5. What is the equation for the phase shift of Sine/Cosecant, Cosine/Secant, and Tangent/Cotangent?
    -C/B
  6. What is the equation for the period of Tangent/Cotangent?
    π/B
  7. In what quadrants is the sin^-1(x) in?
    1 and 4
  8. In what quadrants is the cos^-1(x) in?
    1 and 2
  9. In what quadrants is the tan^-1(x) in?
    1 and 4
  10. What is the range and domain of sin^-1(x)
    • Domain: (-1, 1)
    • Range: (-π/2, π/2)
  11. What is the range and domain of cos^-1(x)?
    • Domain: (-1, 1)
    • Range: (0, π)
  12. What is the range and domain of tan^-1(x)?
    • Domain: (-∞, ∞)
    • Range: (-π/2, π/2)
  13. sec(x)=
    1/cos(x)
  14. csc(x)=
    1/sin(x)
  15. tan(x)=
    sin(x)/cos(x)
  16. cot(x)=
    cos(x)/sin(x)
  17. sin^2(x) + cos^2(x)=
    1
  18. 1 + tan^2(x)=
    sec^2(x)
  19. 1 + cot^2(x)=
    csc^2(x)
  20. a^3 + b^3=
    (a + b) (a^2 - ab +b^2)
  21. a^3 - b^3
    (a - b) (a^2 + ab +b^2)
  22. 1 radian=
    180º/π
  23. Radian to Degrees
    multiply by 180º/π
  24. Degrees to Raidans
    multiply by π/180º
  25. In the formula for sine and cosine graphs, K means
    vertical shift
  26. In the formula for sine and cosine graphs, A means
    amplitude, negative amplitude moves the graph down and flips the graph on the x-axis
  27. In the formula for sine and cosine graphs, B is used
    to find the Period (2π/B) and Phase Shift (-C/B)
  28. In the formula for sine and cosine graphs, C is used
    to find the Phase Shift (-C/B)
  29. In a tangent graph formula, what is B used for?
    to find the period (π/B) and the phase shift (-C/B)
  30. What trig functions are only positive in the first quadrant?
    All trig functions
  31. What trig functions are only positive in the second quadrant?
    Sine and Cosecant
  32. What trig functions are only positive in the third quadrant?
    Tangent and Cotangent
  33. What trig functions are only positive in the fourth quadrant?
    Cosine and Secant

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