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Quiz Solutions for MTH 120 - Summer 2005, Quizzes of Pre-Calculus

The solutions to quiz # 41 for the mth 120 course offered at essex county college during the summer of 2005. The quiz covers topics such as coterminal angles, supplements and complements, and the length of arcs on a circle. Students are required to show all work and justify their answers algebraically.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

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MTH 120 Summer 2005
Essex County College Division of Mathematics
Quiz # 41 Printed May 18, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Determine two coterminal angles in radian measure (one positive, one negative) for θ=π
3.
Solution:
π
3+ 2π=7π
3and π
3
2π=
5π
3
2. Find the supplement of 83.
Solution:
180
83= 97
3. Find the complement of π
6.
Solution:π
2
π
6=π
3
4. Find the length of arc on a circle of radius 14 inches and a central angle of 60.
Solution:
S= 14 ·
π
3
So, the length is 14π
3inches .
5. Find the sum. 2π
3+π
4+π
12 =
Solution:2π
3+π
4+π
12 =8π+ 3π+π
12 =π
1This document was prepared by Ron Bannon using L
A
T
E
X 2ε.
1

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MTH 120 — Summer — 2005 Essex County College — Division of Mathematics Quiz # 4^1 — Printed May 18, 2005

Name:

Signature:

Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.

  1. Determine two coterminal angles in radian measure (one positive, one negative) for θ = π 3

Solution: π 3

  • 2π = 7 π 3

and π 3

− 2 π = − 5 π 3

  1. Find the supplement of 83◦.

Solution: 180 ◦^ − 83 ◦^ = 97◦

  1. Find the complement of π 6

Solution: π 2

π 6

π 3

  1. Find the length of arc on a circle of radius 14 inches and a central angle of 60◦. Solution: S = 14 ·

π 3

So, the length is 14 π 3

inches.

  1. Find the sum. 2 π 3

π 4

π 12

Solution: 2 π 3

π 4

π 12

8 π + 3π + π 12 = π

(^1) This document was prepared by Ron Bannon using LATEX 2ε.