MAC 1114:
Trigonometry
Notes
Instructor:
Brooke Quinlan
Hillsborough Community
College
Section 7.1 Angles and Their Measure
Greek Letters Commonly Used in Trigonometry
Quadrant II
Quadrant I
Quadrant III
Quadrant IV
= alpha
= beta
= theta
= delta
= o
Math 111 Exam 2 Fall 2011
No books, notes, or calculators allowed.
Do NOT write on this exam.
1. The measure of an angle in radians is
A. 84
B.
. Find the measure of the angle in degrees.
C.
D.
E. 105
2. Find the length, s, of the arc of a circle of radiu
Precalc Day 93/94
Sec. 8.2 Sinusoidal Functions and Their Graphs
Theorem: For the graphs ofy = Asin(Bx + C)+ D or y = Acos(Bx+ C)+ D ,
a. Amplitude = IA]
b. Period = P = 271:
lBl
c. Phase Shift = C
(1. Horizontal Shift =
6. Midline = horizontal line y =
RED
DO NOT WRITE ON THE EXAM
Math 111 - Section 1 (J. Tay)
Test 2
May 10 - May 12, 2012
1. The measure of an angle in degrees is
A. 52.5
B. 105
7
radians. Find the measure of the angle in degrees.
12
C. 30
D. 210
E. 15
2. Find the radius of a circle that
Exam 1 Topic List Math 110 Spring 2016
For the things of this world cannot be made known without a knowledge of
mathematics Roger Bacon
Date covered in class
Topic
Jan 11
Ind/Dep Variables
Learning Objective
Define independent and dependent variables (lab
Exam 2 Topic List Math 110 Spring 2016
Do not worry about your problems with mathematics, I assure you mine are
far greater.
-Albert Einstein
Date covered in class
Topic
Feb 1
Linear Systems
Feb 3
Feb 5
Learning Objective
Given context,
define variables
HOMEWORK 1
DUE WEDNESDAY, JANUARY 22
(1) A combination lock has a combination that consists of three integers, not necessarily distinct, from 0 to 39. Find the number of possible lock combinations.
(2) Find the number of seven-letter words that use letter
HOMEWORK 4
DUE WEDNESDAY, FEBRUARY 12
(1) Prove that for each positive integer n, then number (2n)! is divisible by (n!)2 .
(Hint: show that the ratio of these two numbers must be an integer.)
(2) A tennis club has 2n members. We want to pair up the membe
HOMEWORK 3
DUE WEDNESDAY, FEBRUARY 5
(1) There are currently 55 Fort Lewis students taking Calculus III. Each student has
a 9 digit student ID that starts with 900. Show that there must be two students
in Calc III whose student ID numbers have the same su
HOMEWORK 2
DUE WEDNESDAY, JANUARY 29
(1) Which of the following are true and which are false?
(a) 10! = 10
9!
(b) 4! + 4! = 8!
(c) 2! 1! = 1!
(d) n! = n(n 1)! for n > 1
(e) n! = (n2 n)(n 2)! for n > 2
(2) Determine the largest power of 10 that is a factor
HOMEWORK 5
DUE: WEDNESDAY, FEBRUARY 26
(1) (a) Find the coecient of x3 y 2 z 4 w in the expansion of
(x + y + z + w + v )10
(b) Find the coecient of x3 y 3 zw2 in the expansion of
(x y + 2z 2w)9
(2) Consider a three-dimensional grid whose dimensions are 1
HOMEWORK 6
DUE WEDNESDAY, MARCH 5
(1) Find the number of integers between 1 and 10,000 inclusive that are not divisible
by
(a) 4, 5 or 6
(b) 4, 6, 7, or 10.
(2) Find the number of integers between 1 and 10,000 that are neither perfect squares
nor perfect
PROJECT 3: COMBINATIONS AND LOCKS
The Simplex company makes a combination lock that is used in many public buildings.
These 5-button devices are purely mechanical (no electronics). You can set the combination
using the following rules:
A combination is a
PROJECT 2: SET
The game Set is based on an unusual deck of cards in which each card has four
dierent properties: Color, Number, Shape and Texture. Each property can have one
of the three distinct values. Each of the 81 possible combinations of these prope
PROJECT 1: CHINESE DICE
In an ancient Chinese game, players roll six 6-sided dice in a single throw. Players
place bets, categorizing the results according to the number of dice that show the
same value, rather than the value itself. For example the throw
HOMEWORK 7
DUE MONDAY, MARCH 17
(1) How many ways are there to pick 2 books, not both on the same subject, from
5 algebra books, 7 geometry books, and 4 calculus books, where the books are
distinguishable?
(2) How many ways are there to select pieces of f
Math 318 Homework
Name:
Use 10 by 10 grids to solve these problems. You must clearly show how you
are using the grids to solve each problem. You must do all of the problems,
but you will be graded on 1 problem in problems 1 - 5, 2 problems in problems 6 -
Math 318 Homework
Name:
Use 10 by 10 grids to solve these problems.
1. What is 35% of 80?
2. What is 61% of 240?
3. What is 106% of 42?
4. What is 79% of 450?
5. What is 242% of 180?
6. 12 is 20% of what?
7. 36 is 30% of what?
8. 256 is 80% of what?
9. 20
Math 318
Proportional Reasoning HW
Name
Use non-standard methods (proportional reasoning) to solve these. Do not
use algorithms. Use methods that can be understood by a 3rd or 4th grader
with strong number sense. When possible (if the numbers are nice eno
Math 318
Percent Practice Problems
Name
Use grids to solve these problems. Two grids are provided for each problem. Make sure it is clear how
you are using the grids to solve the problems.
1. Kathy bought a book that was marked down 17% from its original
Math 318 Homework
Name:
Without actually doing the calculations indicated, use your number
sense to determine where the decimal point should be in the answer. Then
place the point there.
1. 52.325 2.182 = 11417315
2. .3456 301.25 = 104112
3. 25.124 .985 =
Math 318
Name
Assume that a, b, c >0 and that a <b <c. Insert the correct symbol
(>, <, or =) in each blank space. Also, for problems 14, 18, 30, and 32,
explain your reasoning. You must use the kinds of reasoning we have used in
class.
1.
c
a+b+c
2.
c+17
Day 1 Homework Math 105 - KEY
Thinking Ahead About Percentages You should understand these questions fully before the
next class. Check your answers with the key on your instructors website. You can get help
with this work from the following sources:
Yell
Day 13 Homework More Work with Measures of Center
1. Statisticians say that the median is resistant to changes in outliers while the mean is not.
Explain what this means.
2. Find the mean, median and range of the following data set. Round to one decimal p
Day 11: Fathom Homework Assignment: Measures of Center
You must use a computer in a campus lab to access the Fathom software. You will need to use
Fathom on questions 1 - 8 on this assignment. You can do questions 10 - 12 without the
program.
Use the inst
Day 1 Homework Math 105
Thinking Ahead About Percentages You should understand these questions fully before the
next class. Check your answers with the key on your instructors website. You can get help
with this work from the following sources:
Yellow box
Day 7 Homework Math 105
Fact vs. Interpretation
Two excerpts from news stories are given below. Each contains facts and interpretations. For each
excerpt, write the following on a separate piece of paper:
1. Title of article
2. Quantitative facts given
3.
Day 14 Homework Math 105
Rewriting Comparisons
Use the data given below. You are to change the data so that the quantitative information is
expressed in two (2) different ways from how it is originally presented. As an example, refer to
your Substance Abu
Math 105: Substance Abuse Summary Assignment for Spring 2014
This report is the culmination of the writing instruction we have done in this course. It is a large
assignment and will be worth a significant portion of your grade. You have a choice of the tw
Day 18 Fair Coin, Fair Dice, Bank Manager, Margin of Error Homework
You do not have to use Fathom to complete this assignment, but if you do not remember what the
simulations are, you should refresh your memory by looking at them on Fathom. Specific file