Pre-Calculus
Class Work – Intro to Trig Mixed Review
Name: ________________________________
1. Find the complement of 37o66'10"
2. Find the supplement of 72o31'49"
3. If possible, find the complement and supplement of
3p
.
7
4. If possible, find the complement and supplement of
8p
.
9
5. If possible, find the complement and supplement of
2p
.
11
6. Find the angles formed by the hands of a clock at 4:30.
7. Find the angles formed by the hands of a clock at 1:45.
8. Find the angles formed by the hands of a clock at 7:20.
9. Find the angles formed by the hands of a clock at 6:48.
10. Find the angles formed by the hands of a clock at 3:33.
11. A sector of a circle has perimeter 7 cm and area 3 cm2. Find all possible radii.
12. A sector of a circle has arc length 2 cm and central angle 0.4 radians. Find its radius
and area.
13. A sector of a circle has an area of 25 cm2 and central angle 0.5 radians. Find its
radius and arc length.
14. A sector of a circle has perimeter 12 cm and area 8 cm2. Find all possible radii.
15. A sector of a circle has central angle 24o and arc length 8.4 cm. Find its area.
16. A sector of a circle has central angle 30o and arc length 3.5 cm. Find its area.
17. Find the distance between the given cities. Assume the earth is a sphere with radius
4,000 miles.

The given cities are on the same longitude.
Niagara Falls, NY
Charleston, SC
50o13’ N
32o46’ N
18. Find the distance between the given cities. Assume the earth is a sphere with radius
4,000 miles.

The given cities are on the same latitude.
Syracuse, NY
Burlington, IA
76o07’ W
91o07’ W
19. Find the distance between the given cities. Assume the earth is a sphere with radius
4,000 miles.

The given cities are on the same latitude.
Atlantic City, NJ
Sacramento, CA
74o26’ W
121o30’ W
20. Find the reference angle for the given angles:
a. -502 o
b. -
p
7
23p
c.
9
d. 753o
21. Find the reference angle for the given angles:
a. -502 o
b. -
p
7
23p
c.
9
d. 753o
22. Find the reference angle for the given angles:
a. -502 o
b. -
p
7
23p
c.
9
d. 753o
23. Find a positive and negative coterminal angle with the given angle:
23p
a.
9
24. Find a positive and negative coterminal angle with the given angle:
7p
a.
5
25. Find a positive and negative coterminal angle with the given angle:
23p
a.
10
26. Find a positive and negative coterminal angle with the given angle:
19p
a. 3
27. Find a positive and negative coterminal angle with the given angle:
17p
a. 6
28. A nail that is stuck in a tire rotates 300 revolutions per minute. If the radius of the
tire is 16 inches, find its angular speed in radians/second and its linear speed in
feet/minute.
29. A nail that is stuck in a tire rotates 300 revolutions per minute. If the radius of the
tire is 16 inches, find its angular speed in radians/second and its linear speed in
feet/minute.
30. A nail that is stuck in a tire rotates 300 revolutions per minute. If the radius of the
tire is 16 inches, find its angular speed in radians/second and its linear speed in
feet/minute.
31. A nail that is stuck in a tire rotates 300 revolutions per minute. If the radius of the
tire is 16 inches, find its angular speed in radians/second and its linear speed in
feet/minute.