Trigonometry Homework july 12
MATH 115 Section 6381 Summer 2020 OL1 Page 1 of 13
MATH 115 Pre-Calculus Name______________________________
Final Examination: Summer 2020 Section 6381
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work
on the exam, and you may use a calculator.
Record your answers and work in this document.
Answer all 20 questions. Make sure your answers are as complete as possible. Show all of
your work and reasoning. In particular, when there are calculations involved, you must
show how you come up with your answers with critical work. Answers that come straight
from calculators, programs or software packages without explanation will not be accepted.
If you need to use technology to aid in your solution, you have to cite the source and explain
how you get the results. For example, state the Excel function along with the required
parameters when using Excel; describe the detailed steps when using a hand-held
calculator; or provide the URL and detailed steps when using an online calculator, and so
on.
Show all supporting work and write all answers in the spaces allotted on the following pages.
You may type your work using plain-text formatting or an equation editor, or you may hand-
write your work and scan it. In either case, show work neatly and correctly, following standard
mathematical conventions. Each step should follow clearly and completely from the previous
step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with
others is allowed. It is a violation of the UMGC Academic Dishonesty and Plagiarism
policy to use unauthorized materials or work from others. Your exam will receive a
zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I understand that it is a violation of the UMGC Academic Dishonesty and Plagiarism policy to
use unauthorized materials or work from others. I promise that I did not discuss any aspect of
this exam with anyone other than my instructor. I further promise that I neither gave nor
received any unauthorized assistance on this exam, and that the work presented herein is
entirely my own.
Name _____________________ Date___________________
MATH 115 Section 6381 Summer 2020 OL1 Page 2 of 13
Record your answers and work.
Problem
Number Solution
1
Answer: ____________
Justification:
2
Answer: ___________
Justification:
MATH 115 Section 6381 Summer 2020 OL1 Page 3 of 13
3
Answer: __________
Justification and / or work:
4
Answer: ________
Justification and / or work:
MATH 115 Section 6381 Summer 2020 OL1 Page 4 of 13
5
Answer: ________
Justification and / or work:
6
Answer: ________
Justification and / or work:
MATH 115 Section 6381 Summer 2020 OL1 Page 5 of 13
7
Answer: ________
Justification and / or work:
8
Answer: ________
Justification and / or work:
MATH 115 Section 6381 Summer 2020 OL1 Page 6 of 13
9
Answer:
Justification and / or work:
10
Answer:
Justification and / or work:
MATH 115 Section 6381 Summer 2020 OL1 Page 7 of 13
11
Answer:
Work:
12
Answer: (a)
(b)
Work:
MATH 115 Section 6381 Summer 2020 OL1 Page 8 of 13
13
Answer: (a)
(b)
(c)
Work:
14
Answer: (a)
(b)
Work:
MATH 115 Section 6381 Summer 2020 OL1 Page 9 of 13
15
Answer:
(b) Period = ; amplitude= ; phase shift= ; vertical shift=
Work for (b):
(a) Graph:
MATH 115 Section 6381 Summer 2020 OL1 Page 10 of 13
16
Answer:
Work:
17
Answer:
Work:
MATH 115 Section 6381 Summer 2020 OL1 Page 11 of 13
18
Answer: (a) side a = _________ units; angle α =________° ; angle γ = _______°
(b) Area = ___________ square units
Work:
MATH 115 Section 6381 Summer 2020 OL1 Page 12 of 13
19
Answer: (a)
(b)
Work:
MATH 115 Section 6381 Summer 2020 OL1 Page 13 of 13
20
Answer: (a)
(b)
(c)
Work: