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Comprehensive Trigonometry Review: Concepts, Equations, and Applications

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52 diapositives · 676 Views · Jul 26, 2014

This trigonometry review covers essential topics ranging from angle properties to the unit circle, graphing functions, and solving equations. Each section includes various problem types to reinforce understanding, such as identifying supplements, co-terminal angles, and reference angles. The review also delves into real-world applications involving angles of depression and periodic functions, ensuring a well-rounded grasp of pre-calculus trigonometry. Ideal for students preparing for exams or seeking to strengthen their math skills.

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  1. Jeopardy Trigonometry Review

  2. PreCalculus Review

  3. Vocabulary for $100 • Identify the supplement of the angle (if possible).

  4. Answer for Vocabulary $100

  5. Vocabulary for $200 • Identify the co-terminal angle (if possible).

  6. Answer for Vocabulary $200

  7. Vocabulary for $300 • Identify the reference angle of:

  8. Answer for Vocabulary $300

  9. Vocabulary for $400 • Identify which function has the largest period.

  10. Answer for Vocabulary $400

  11. Vocabulary for $500 • If a plane that is cruising at an altitude of 30,000 feet wants to land at Denver International Airport, it must begin its descent so that the angle of depression to the airport is 7°. How many miles from the airport must the plane begin descending?

  12. Answer for Vocabulary $500 • If a plane that is cruising at an altitude of 30,000 feet wants to land at Denver International Airport, it must begin its descent so that the angle of depression to the airport is 7°. How many feetfrom the airport must the plane begin descending? 30,000 X

  13. Unit Circle for $100 • Find the value of .

  14. Answers for Unit Circle $100

  15. Unit Circle for $200 • Find the .

  16. Answers for Unit Circle $200

  17. Unit Circle for $300 • Determine the value:

  18. Answers for Unit Circle $300

  19. Unit Circle for $400 • Simplify the expression:

  20. Answers for Unit Circle $400

  21. Unit Circle for $500 • Evaluate all six trig functions when

  22. Answers for Unit Circle $500

  23. Misc for $100 • Find the inverse angle of the function.

  24. Answers for Misc for $100

  25. Misc for $200 • Find the inverse angle of

  26. Answers for Misc for $200

  27. Misc for $300 • The point (5, -3) is on the terminal side of the angle. Find the exact value for the sine and tangent function.

  28. Answers for Misc for $300

  29. Misc for $400 • Given the information below, find the exact value of the sine and cosine of the function.

  30. Answers for Misc for $400

  31. Misc for $500 • Simplify the expression into using only one trig function.

  32. Answers for Misc for $500

  33. Graphing Trig Functions for $100 • Which trig function has the largest amplitude?

  34. Answers for Graphing Trig Functions for $100 A

  35. Graphing Trig Functions for $200 • Given the function provided below identify the amplitude, period, and midline.

  36. Answers for Graphing Trig Functions for $200

  37. Graphing Trig Functions for $300 • Given the function provided below and the point (5,7). Find the value of c.

  38. Answers for Graphing Trig Functions for $300

  39. Graphing Trig Functions for $400 • Jacob and Emily ride a Ferris wheel at a carnival in Billings, Montana. The wheel has a 16 meter diameter, and turns at three revolutions per six minutes, with its lowest point one meter above the ground. Assume that Jacob and Emily's height h above the ground is a sinusoidal function of time t, where t =0 represents the lowest point on the wheel and t is measured in seconds. Write the equation for h in terms of t for a cosine sinusoidal function.

  40. Answers for Graphing Trig Functions for $400

  41. Graphing Trig Functions for $500 • Graph the function and label all identify all parts (amplitude, period, midline, and x-intercept)

  42. Answers for Graphing Trig Functions for $500

  43. Solving Trig Equations for $100 • Solving the equation for x:

  44. Answers for Solving Trig Equations for $100

  45. Solving Trig Equations for $200 • Solve the equation for x:

  46. Answers for Solving Trig Equations for $200

  47. Solving Trig Equations for $300 • Solve the equation for x:

  48. Answers for Solving Trig Equations for $300

  49. Solving Trig Equations for $400 • Solve the equation for x:

  50. Answers for Solving Trig Equations for $400