1. Click here for Final Jeopardy

2. Graphing
Inverse Trig
Functions
Word
Problems
Trig
Identities
Solving
Equations
10 Point
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10 Point
10 Point
10 Point
20 Points
20 Points
20 Points
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30 Points
30 Points
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40 Points
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50 Points
50 Points
50 Points
50 Points
50 Points

3. Graph this equation:
y = tan (x)‏

4. Question 1a

5. Graph this equation:
y = sec (x)‏

6. Question 2a

7. Graph this equation:
y = sin 2x, if 0≤x≤π

8. Question 3a

9. y=3+5sin (πx+π/4), from -2 to 2
Graph this equation:
y=3+5sin (πx+π/4), from -2 to 2

10. Question 4a

11. Find the equation of the following graph

12. y= -5 cos (πx-π/2)‏

13. Find the inverse of the following graph

14. y=(x+3)/2

15. Find the inverse for the following equation: y=x²-4

16. y= +/- √(x+4)‏

17. Find and graph the inverse of this equation:
y= sin x

18. y= arcsin (x)‏

19. Evaluate the following equation:
sin(arctan 3/4)‏

20. 3/5

21. Write the expression sin (arccos x) as an equivalent expression in x only (assume x is positive)‏

22. sin (arccos x) = sin θ=√(1-x2)/1 =

23. If a 75. 0-ft flagpole casts a shadow 43
If a 75.0-ft flagpole casts a shadow ft long, what is the angle of the elevation of the sun from the tip of the shadow, to the nearest 10- minute interval?

24. 60 degrees, 10'

25. San Luis, California, is 12 mi due north of Grover Beach.
If Arroyo Grande is 4.6 mi east of Grover Beach, what is the
bearing of San Luis from Arroyo Grande?

26. N 21 degrees W

27. Tom is walking down the hall, when he catches a glimpse of himself in a mirror. Tom notices that the angle of depression from his eyes to the bottom of the mirror is 12 degrees, while the angle of elevation to the top of the mirror is 11 degrees. Tom is standing 150 cm from the mirror. Find the vertical dimension of the mirror.

28. 61 cm

29. From a point on the floor the angle of elevation to the top of a door is 47 degrees, while the angle of elevation to the ceiling above the door is 59 degrees. If the ceiling is 10 feet above the floor, what is the vertical dimension of the door?

30. 6.4 feet

31. A satellite (point A) is circling 112 miles above the earth, as shown below. When the satellite is directly above point B, angle A is found to be 76.6 degrees. Use this information to fine the radius of the earth.

32. 4,000 miles

33. Prove sinθcotθ = cosθ

34. Sinθ x cosθ/sinθ = cosθ
SinθCosθ/sinθ = cosθ
cos θ = cos θ

35. Prove tan x + cos x=sin x (sec x + cot x)‏

36. Sinx Secx + sinx cotx = tanx + cosx
Sinx * 1/cosx + sinx * cosx/sinx = tanx + cosx
sinx/cosx + cosx = tanx + cosx
tanx + cosx = tanx + cos x

37. Prove 1 + cosθ = (sin^2)θ/1-cosθ

38. 1-(cos^2)θ / 1-cosθ = 1 + cosθ (1-cosθ)(1+cosθ)/1-cosθ = 1+cosθ

39. Prove 1 + sin t/cos t = cos t/1-sin t

40. Cos t (1+sin t)/1-(sin^2) t = 1+sin t/cos t
Cos t (1+sin t)/cos^2 t = 1+sin t/cos t
1+sin t/cos t = 1+sin t/cos t

41. Prove tan x + cot x = sec x*cscx

42. sinx/cosx+cosx/sinx = secx*cscx
(sin^2)x + (cos^2)x/cosx*sin = secx*cscx
1/cosx*sinx = secx*cscx
1/cosx*1/sinx = secx*cscx
secx*cscx = secx*cscx

43. Solve for x (In degrees):
2 sin x-1=0

44. x = 30 degrees degrees*k or
x = 150 degrees degrees*k

45. Find all degree solutions to
sin (2A – 50 degrees) = (√3)/2

46. A = 55 degrees degrees*k or
A = 85 degrees +180 degrees*k

47. Solve
2(cos^2) t -9 cos t = 5
if 0≤t≤2π

48. Cos t = -1/2 (t = 2π/3 or 4π/3)‏ or
Cos t = 5 (no solution)‏

49. Solve
3 sin θ – 2 = 7 sin θ -1
if 0 degrees ≤ θ ≤ 360 degrees

50. 194.5 degrees (quadrant III) or 345.5 degrees (quadrant IV)

51. Solve
2sinθ-3 = 0
if 0 degrees ≤ θ ≤ 360 degrees

52. No solution (the sine graph never crosses the x-axis)‏

53. Final Jeopardy
Make your wager

54. Draw and label the unit circle, with measurements in both radians and degrees.

55. Final Question