Name: ______________________
Period: _____
Chapter 4A Review
Pre-calculus
Non-Calculator questions.
Change from degrees to radians (reduce to lowest form)
1. 315̊
2. 470̊
3. -110̊
4. 670̊
5. -10̊
Change from radians to degrees (reduce to lowest form)
6. 5π
7.
7
8
8.
 25
9. 

10. -3π
6
Give the ratio from the unit circle.
11.
tan 
12.
sec 4
13.
17. tan( 270 )
16. cos(45 )
cot 2
14.
cos 74
15. sin( 300 )
18. csc()
Find all six trig ratios based on the given information. Remember to include correct signs on the answers.
19.
sin   43 , QI
22.
cos  0 and tan    45
20.
cot  74 , QIII
23.
21.
cos  0 and sin   
sec  0 and csc 
3
2
8
3
questions 24-26 you will have to draw the picture.
24. Given (-2, 4) is drawn to its terminal side, find all six trig ratios.
25. Given (4, 7) is drawn to its terminal side, find all six trig ratios.
26. Given (-3, -4) is drawn to its terminal side, find cosθ, cotθ, and cscθ.
Calculator questions.
Given that arc length is found by s
27. r = 5 in ,


2
30. s = 29 ft, r = 3 ft
 r  (where θ is given in radians) find the missing measure.

28. s = 25 ft,

31. s = 45m,
  15
5
29. r = 7 in,


4
Evaluate, if possible. (calc or non-calc questions)
32.
sin 1 ( 21 )
33.
1
arccos(cos( ))
35. tan(cos (1))
36. arcsin(sin
38. arcsec -2
39. cot -1
41. sin(tan -1  3 )
42. sec -1(csc
44. cos -1(cos
4
)
3
48. cos(sin -1 (cos
2
))
3
45. sin -1 (sin
5
6
34. sin
)
37.
1
3
2
)
3
1
(cos 4 )
arccos(tan2 )
40. Arccsc

)
6
46. cos (sin -1 
49. sin -1 (cos (cot -1  3 ))
2
3
43. sin -1 (cos 0)
2
)
2
47. csc -1 (sec
5
)
6
50. csc (tan-1 (cot (sin-1 
1
)))
2
Find the exact value using right triangles.
51. cos(sin -1
3
)
5
54. sin (sec -1 
5
)
2
52. sin(cos -1
7
)
25
55. tan (csc -1 
7
)
3
53. tan(sin-1 
15
)
17
56. cos (tan -1 
2
)
3
57. The angle of elevation to the top of a building is 14̊ when a person is standing 150 ft away from its base.
How tall is the building?
58. What is the angle of elevation if a building is 25ft tall and a person is standing 10 ft away from the base
of the building?
59. A building is 1000ft tall. How far away is a person standing if the angle of elevation is 25̊?
60. A radio tower is built on top of a building. A person is standing 100 ft away from the building. The
angle of elevation to the top of the building is 15̊ and is 20̊ to the top of the tower. How tall is the tower on
the building?