Post-Exam #3 Solutions
MATH U127: Precalculus II
11/27
ADDITIONAL PRACTICE PROBLEMS
You may work through the following review problems for extra practice.
1. Find the exact values of the sine, cosine, and tangent of each of the following angles.
Decimal a
Practice Problems
MATH U127 - Precalculus II
12/5
1. A car is traveling at a speed of 60 miles per hour. The diameter of the wheels is 3 ft.
(a) Find the number of revolutions per minute that the wheels are rotating.
Solution. When each tire makes one ful
Exam #1 Practice Solutions MATH U127: Precalculus II
9/9
EXAM #1 PRACTICE PROBLEM SOLUTIONS
1. For each of the following angles, (i) sketch a picture of the angle in standard position, (ii)
determine the quadrant in which the terminal side of the angle li
Post-Exam #3 Topics
5.4. SUM
AND
MATH U127: Precalculus II
11/27
DIFFERENCE FORMULAS
The Angle Sum and Difference Formulas for the sine, cosine, and tangent functions. (See
Section 5.4 assigned homework for example problems.)
5.5. OTHER USEFUL TRIGONOMET
Exam #3 Topics
4.8. APPLICATIONS
MATH U127: Precalculus II
OF
11/9
TRIGONOMETRY
Solving right triangles. (Finding all unknown angles and sides.)
Solving word problems involving right triangles.
Using inverse trigonometric functions to find an acute ang
Exam #3 Practice Solutions
MATH U127: Precalculus II
11/9
ADDITIONAL PRACTICE PROBLEMS
1. The height of a radio transmission tower is 70 meters, and the tower casts a shadow of
length 30 meters. Find the angle of elevation of the sun.
Solution. The angle
Exam #1 Topics
MATH U127: Precalculus II
9/9
CHAPTER 4: TRIGONOMETRY
4.1. RADIAN AND DEGREE MEASURE
The three components of an angle: vertex, initial side, and terminal side.
A positive angle represents counter-clockwise rotation and a negative angle re
MATH U127 - Precalculus II
Format of the Final Exam
Our final exam will be Monday, 12/5, at 8:00am in Library 246.
You will be given a formula sheet containing all trigonometric identities except for the Pythagorean
identities, even/odd identities, cofunc
Exam #2 Practice Solutions MATH U127: Precalculus II
10/11
ADDITIONAL PRACTICE PROBLEMS
1. (a) Given that cos( ) =
(i) sin( )
5
and that csc( ) < 0, find:
6
(ii) cot( )
(iii) csc( )
(iv) tan(90 )
Solution. First notice that since cos( ) is negative, must
Practice Problems
MATH U127 - Precalculus II
12/2
1. A car is traveling at a speed of 60 miles per hour. The diameter of the wheels is 3 ft.
(a) Find the number of revolutions per minute that the wheels are rotating.
(b) Find the angular speed of the whee
Welcome to Online College Algebra! Here are a few instructions and helpful hints
to get you through this course.
1. Read the syllabus! I cannot stress how important this is in an online course! Pay special attention
to how the course is structured, as wel
College Algebra 121
Ch. 1.4-1.5 Checklist
Homework:
o Watch, listen and take notes on videos in Complex Numbers
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An Introduction to Complex Numbers
Negative Radicands
Subtracting Negative Radicands
Multiply Negative Radicands
How to get a
College Algebra 121
Ch. 1.2-1.3 Checklist
Homework:
o Read the syllabus!
o Watch, listen and take notes on videos in Linear Equations
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Linear Equations Definition and Example
Linear Equations involving Fractions
Watch me work an example with fr
College Algebra 121
Ch. 1.6-1.7 Checklist
Homework:
o Watch, listen and take notes on videos in Other Types of Equations
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Radical Equations
Example Radical Equations
Equations with Rational Exponents
Example - Equations with Rational Exponents
Exam 1 Information
There are 18 problems on the following topics:
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Solve a linear equation (2)
Decide if an equation is identity, conditional or inconsistent (1)
Solve a rational equation (1)
Solve a linear word problem (1)
Add, s
Ch. 2.1-2.2 Checklist
o Watch, listen and take notes on Introduction to Functions. There are 7 lectures and
examples.
o Relations
o Functions
o Example Is the Relation a Function?
o Function Notation
o Example Function Evaluation
o Domain and Range
o Basi
Ch. 2.3-2.4 Checklist
o Watch, listen and take notes on An Introduction to Lines. There are 5 lectures and
examples.
o Slope
o Point-Slope Form
o Slope-Intercept Form
o Example using Slope-Intercept to Graph
o Lecture x & y Intercepts
o Watch, listen and
Ch. 2.7-2.8 Checklist
o Watch, listen and take notes on 2.7 Inverse Functions. There are 7 lectures and
examples.
o Introduction to Inverses
o One-to-One
o Finding Inverses
o Graphing Inverses
o Example Graphing Inverse Points
o Example Finding an Inverse
Ch. 2.5-2.6 Checklist
o Watch, listen and take notes on Function Translations & Reflections. There are 6
lectures and examples.
o Vertical-Horizontal Shifts
o Graphing Translations
o Reflections
o Stretching & Shrinking
o Graphing Translated Basic Functio
Exam 2 Information
There are 20 problems on the following topics:
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Determine if a relation is a function (2)
Evaluate a function (1)
Given graph, determine domain and range (1)
Calculate the slope of a line (1)
Write the e
Exam 3 Information
There are 20 problems on the following topics:
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Graph a quadratic function (1)
Given quadratic function, determine the minimum or maximum (1)
Solve a word problem involving minimum/maximum (1)
Determine if
Ch. 3.5-3.6 Checklist
o Watch, listen and take notes on Rational Functions.
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Introduction to Rational Functions
Graphing Translated Basic Functions
3.5 Finding Asymptotes
Another Example Finding Asymptotes
3.5 Graphing Rational Functions
Asym
Ch. 3.1-3.2 Checklist
o Watch, listen and take notes on Quadratic Functions.
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Introduction to Quadratics
Overview of Quadratics
Graphing Quadratics
Vertex and Translations
o Watch, listen and take notes on Polynomial Functions.
o Polynomial Functio
Ch. 4.1-4.2 Checklist
o Watch, listen and take notes on 4.1 Exponential Functions.
o Introduction to Exponential Functions
o Graphing Exponential Functions
o Compound Interest
o Watch, listen and take notes on 4.2 Logarithmic Functions.
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Introduc
Ch. 4.3-4.4 Checklist
o Watch, listen and take notes on 4.3 Properties of Logarithms.
o Properties of Logarithms
o Change-of-Base Property
o Watch, listen and take notes on 4.4 Exponential & Logarithmic Equations.
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Exponential Equations Like Bases
Final Exam Information
There are 50 problems on the following topics:
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Solve a linear equation (2)
Decide if an equation is identity, conditional or inconsistent (1)
Solve a rational