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Jeopardy

Jeopardy. Radian Measure. Radian Angles. Graphs and Transformations. Reciprocal Graphs. Rates of Change. 6.1. 6.2. 6.3 – 6.4. 6.5 – 6.6. 6.7. Q $100. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $300. Q $400.

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Jeopardy

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  1. Jeopardy Radian Measure Radian Angles Graphs and Transformations Reciprocal Graphs Rates of Change 6.1 6.2 6.3 – 6.4 6.5 – 6.6 6.7 Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

  2. $100 Question from 6.1 Convert the following into radian measure: 75 °

  3. $100 Answer from 6.1 5 π12

  4. $200 Question from 6.1 Convert the following into degrees: 11π 6

  5. $200 Answer from 6.1 330°

  6. $300 Question from 6.1 Convert the following into radian measure - 120 °

  7. $300 Answer from 6.1 - 2π 3

  8. $400 Question from 6.1 Convert the following into radian measure: 270°

  9. $400 Answer from 6.1 9π 6

  10. $500 Question from 6.1 Determine the measure of the central angle that is formed by an Arc length of 5cm in a circle with a diameter of 5cm.

  11. $500 Answer from 6.1 2 radians

  12. $100 Question from 6.2 Explain the CAST Rule

  13. $100 Answer from 6.2 It helps remember where the Primary trig ratios are positive in the quadrants. Quadrant 1 = All positive Quadrant 2 = Sine positive Quadrant 3 = Tan positive Quadrant 4 = Cosine positive

  14. $200 Question from 6.2 Determine the exact value of the trigonometric ratio: Cos 5π 4

  15. $200 Answer from 6.2 • 1 • √ 2

  16. $300 Question from 6.2 A leaning flagpole 7m long makes an obtuse angle with the ground. If the distance from the tip to the flagpole to the ground is 4m, determine the radian measure of the obtuse angle to the nearest hundredth.

  17. $300 Answer from 6.2 Sin-1 7 4 = 0.61 π -0.61=2.5 radians

  18. $400 Question from 6.2 Determine the exact value of the trigonometric ratio Sec 5π 3

  19. $400 Answer from 6.2 2 1

  20. $500 Question from 6.2 Determine the length of AB and angle of D. A 8 cm π 6 B D 8 cm C

  21. $500 Answer from 6.2 AB = 16 cm Angle D = 45°

  22. $100 Question from 6.3 – 6.4 List all of the transformations of a parent function, Including characteristics of the functions i.e period.

  23. $100 Answer from 6.3 – 6.4 Transformations of the Parent Function |a| gives the vertical stretch compression factor. 1/k gives the horizontal stretch/compression factor. d gives the horizontal translation. c gives the vertical translation. Characteristics of the Transformed Function | a | gives the amplitude. 2 pi/ k gives the period. d gives the horizontal translation. y = c gives the equation of the axis.

  24. $200 Question from 6.3 – 6.4 Determine equation of the graph

  25. $200 Answer from 6.3 – 6.4 Y = 5 sin (x + π) + 2 3

  26. $300 Question from 6.3 – 6.4 Determine the equation of the graph

  27. $300 Answer from 6.3 – 6.4 Y = - 3 cos (2 (x +π )) – 1 4

  28. $400 Question from 6.3 – 6.4 Determine the equation of the following graph π

  29. $400 Answer from 6.3 – 6.4 Y = 3 sin (2x) -1

  30. $500 Question from 6.3 – 6.4 A pendulum swings back and forth 9 times in 6 seconds. It swings through a horizontal distance of 30m. (hint: max = 15m) a.) Sketch a graph of this motion for one cycle, beginning to the pendulum at the end of its swing. b.) Find the equation

  31. $500 Answer from 6.3 – 6.4 Y=15cos(3π t)

  32. $100 Question from 6.5 – 6.6 Sketch graphs of (with values) :Y= Sin x Y = Cos x Y = Tan x

  33. $100 Answer from 6.5 – 6.6

  34. $200 Question from 6.5 – 6.6 Sketch graph of y = sec x - 1

  35. $200 Answer from 6.5 – 6.6

  36. $300 Question from 6.5 – 6.6 A person who was listening to a siren reported that the frequency of the sound fluctuated with time, measured in seconds. The minimum frequency that the person heard was 500 Hz, and the maximum frequency was 1000 Hz. The maximum frequency occurred at T = 0 and T = 15. The person also reported that, in 15, she heard the maximum frequency 6 times (including the times at T = 0 and T = 15). What is the equation of the cosine function that describes the frequency of this siren?

  37. $300 Answer from 6.5 – 6.6 Y = 250 cos ( 2 π x) + 750 3

  38. $400 Question from 6.5 – 6.6 Graph the function y = 2 sec x + 4

  39. $400 Answer from 6.5 – 6.6

  40. $500 Question from 6.5 – 6.6 Sketch the graph of y = cot (x) 2

  41. $500 Answer from 6.5 – 6.6 -2 π - π π 2 π

  42. $100 Question from 6.7 Determine AROC: y = 2 cos (x –π ) 4 2 < x < π

  43. $100 Answer from 6.7 - 1.3275

  44. $200 Question from 6.7 For y = - 5 sin ( 1 x) – 9 2 Find the AROC over the interval π ≤ x ≤ π 4

  45. $200 Answer from 6.7 -1.311

  46. $300 Question from 6.7 A ship that is docked in a harbour rises and falls with the waves. The function models the vertical movement of the ship, h in metres, at t seconds. Estimate the instantaneous rate of change in the height of the ship at t = 6

  47. $300 Answer from 6.7 -0.5m/s

  48. $400 Question from 6.7 Determine AROC: Y = cos (x – π) + 1 3 π3 π2 < X <

  49. $400 Answer from 6.7 About - 0. 5157

  50. $500 Question from 6.7

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