SYLLABUS
MAT 1323 Trigonometry
I. Instructor Information
Instructor’s name: Kristin Cooley and Adrienne Huskey
Location of instructor’s office: NWRHS
Office phone number: 601.992.2005 Email address: kristin.cooley@rcsd.ms
adrienne.huskey@rcsd.ms
II. Course Information:
Course name: Trigonometry
Number: MAT 1323
Credit hours: 3 semester hours
Pre-requisite courses: Math Placement Level 4 (ACT Math sub-score 20 – 36; Math Compass
Score 48 – 100).
Course Description: This course includes trigonometric functions and their graphs; functions
of composite angles; fundamental relations; trigonometric equations; radian measurement;
solutions of right and oblique triangles; inverse trigonometric functions; applications.
Course Objectives: The student will gain knowledge and experience with
trigonometric functions, solutions of right and oblique triangles, radian measure,
circular functions and their graphs, trigonometric identities, inverse circular functions,
trigonometric equations, and applications involving trigonometric functions and
vectors.
Course Transferability: Contact the institution to which you plan to transfer.
Permitted Calculators
You may use any four-function, scientific, or graphing calculator, unless it has features described
in the Prohibited Calculators list.
Prohibited Calculators
The following types of calculators are prohibited:
 calculators with built-in computer algebra systems
 handheld, tablet, or laptop computers, including PDAs
 electronic writing pads or pen-input devices—calculators built into cell phones or
any other electronic communication devices
 calculators with a typewriter keypad (letter keys in QWERTY format)—
Note: Letter keys not in QWERTY format are permitted.
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Student Learning Outcomes:
Upon completion of Trigonometry the student will be able to:

State the definitions of the six trigonometric functions in terms of x, y, and r; find the
value of each of the six trigonometric functions of any angle, and apply these
definitions in computations and problem solving.

Solve right triangles and applications involving right triangles; determine
trigonometric function values of any angle whether measured in degrees or in radians;
solve applications involving circular functions and radian measure.

Analyze and sketch the graphs of each of the six circular functions in the rectangular
plane and determine period, amplitude, and translations for any of the basic functions
and or a transformation of one of the circular functions; learn the fundamental
trigonometric identities, and verify identities.

Verify identities and use identities to evaluate the trigonometric function values of the
sum or difference of two angles, double angles, and half-angles; evaluate expressions
involving inverse circular functions.

Solve equations involving trigonometric functions of single angles and multiple angles;
solve oblique triangles and their applications using the Law of Sines and/or the Law of
Cosines; and solve practical problems using vectors.
General Education Key Competencies: Trigonometry supports the
development of the institutional competencies in Critical Thinking/Problem
Solving, and Technology. Upon completion of this course students will
demonstrate competence in these areas:

Competence in critical thinking/problem solving is the intellectual ability to
skillfully conceptualize, apply, analyze, synthesize, and evaluate information.
Developing this competency includes acquiring the skills necessary to comprehend
concepts, examine arguments, reason effectively, and present a conclusion or a
solution to a problem.

Competence in technology use is to be an intelligent user of technology in relation to
one's field or program of study. Developing this competency includes mastery of
technological skills applicable to said field or program of study.
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III. Textbook and Course Materials:
Name, edition, and author:
ISBN #: 0-321-82810-0
Trigonometry, 10/E
Lial, Hornsby, and Schneider
On-line resources: MyMathLab is required for online homework; the access code is
bundled with the textbook for the ISBN # listed above. You may use the computer labs on
any Hinds Community College campus or any other computer where you are able to
download the necessary plug-ins.
IV. Instructional Methods:
Lecture, group work, written and online homework
It is recommended that each student keep a notebook organized by UNITS containing:
 Class notes and in class handouts
 Written and Online homework
 Quizzes and other Assessments
 Practice Tests and Review Materials
V. Grading Plan:
During the semester you will have graded homework assignments that will count
as one test grade with a maximum of 100 points. There are five units in the course
and each Unit Test counts 100 points, and the Final Exam counts 100 points.
The FINAL AVERAGE is the average of the graded homework, each of the five
Unit Test grades and the Final Exam grade.
NO makeup tests will be given.
If the student has not missed any test during the semester, then the final exam may be
used to replace the lowest unit test grade
Grading scale:
A
B
C
D
F
90 – 100
80 – 89
70 – 79
60 – 69
Below 60
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VI. Topic Outline:
Trigonometry MAT 1323
The student will gain knowledge and experience with trigonometric functions, solutions of right
and oblique triangles, radian measure, circular functions and their graphs, trigonometric
identities, inverse circular functions, trigonometric equations, and applications involving
trigonometric functions and vectors.
Unit 1
Trigonometric Functions and Right Triangles
Sections 1.1, 1.3, 1.4, 2.1, 2.2, 2.3
Unit 2
Right Triangles, Radian Measure, and Circular Functions
Sections 2.4, 2.5, 3.1, 3.2, 3.3
Unit 3
Graphs of Circular Functions; Trigonometric Identities
Sections 4.1, 4.2, 4.3, 4.4, 5.1, 5.2
Unit 4
Trigonometric Identities and Inverse Trigonometric Functions
Sections 5.3, 5.4, 5.5, 5.6, 6.1
Unit 5
Trigonometric Equations, Oblique Triangles, Vectors,
Sections 6.2, 6.3, 7.1, 7.2, 7.3, 7.5
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Unit 1 Trigonometric Functions and Right Triangles
Sections 1.1, 1.3, 1.4, 2.1, 2.2, 2.3
Learning Objectives:
The student will:
Section 1.1 Angles
1. Convert between angle measures stated in degrees, minutes, seconds and decimal degrees.
2. Draw an angle in standard position
3. Determine the measures of angles co-terminal with an angle given in standard position.
4. Solve applications involving revolutions per unit of time.
Section 1.3
Trigonometric Functions
1. Define the six trigonometric functions of an angle in standard position in terms of x , y ,
and r.
2. Find the values of the six trigonometric functions of an angle in standard position.
Section 1.4 Using the Definitions of the Trigonometric Functions
1. Use the reciprocal identities to find the value of trigonometric functions.
2. Identify the quadrant or quadrants for the angle satisfying given conditions.
3. Determine the sign of each of the six trigonometric functions for a given angle.
4. Find trigonometric function values given one function value and the quadrant of the angle.
5. State and use the Reciprocal Identities, Pythagorean Identities, and the Quotient Identities.
Section 2.1
Trigonometric Functions of Acute Angles
1. Define the six trigonometric function values for any acute angle in standard position in
terms of side opposite, side adjacent and hypotenuse of a right triangle.
2. Write trigonometric functions in terms of co-functions.
3. Solve equations involving the co-function identities.
4. Give exact values for the trigonometric function values of the special angles 30o, 45o, and
60o.
Section 2.2 Trigonometric Functions of Non-Acute Angles
1. Determine the reference angle for any given angle.
2. Find exact trigonometric function values of an angle whose reference angle is 30o, 45o, or
60o.
Section 2.3 Finding Trigonometric Function Values Using a Calculator
1. Use a calculator to find the value of any trigonometric function of any angle whose measure
given in degrees.
2. Use a calculator to find the measure of an angle in degrees having a given trigonometric
function value.
is
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Unit 2 Right Triangles, Radian Measure, and Circular Functions
Sections 2.4, 2.5, 3.1, 3.2, 3.3
Learning Objectives:
The student will:
Section 2.4 Solving Right Triangles
1. Solve right triangles given an angle and a side or given two sides.
2. Solve applications involving an angle of elevation or an angle of depression.
Section 2.5 Further Applications of Right Triangles
1. Solve problems involving the bearing of a line expressed as a single angle.
2. Solve problems involving the bearing of a line expressed in terms of a north-south line and
an acute angle either east or west of the established north-south line.
Section 3.1 Radian Measure
1. Convert between degree measure and radian measure of angles.
2. Find exact values of the trigonometric functions of angles whose measures are expressed in
radian measure in terms of  .
Section 3.2 Applications of Radian Measure
1. Use the formula for arc length in the solution of problems.
2. Use the formula for the area of a sector in the solution of problems.
Section 3.3 Circular Functions and The Unit Circle
1. Find exact values of circular functions of any angle with a reference angle of 30o, 45o, or
60o.
2. Use a calculator to approximate the circular function values of any angle whose measure is
given in radians.
3. Use a calculator to find the measure of an angle in radians having a given circular function
value.
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Unit 3 Graphs of Circular Functions; Trigonometric Identities
Sections 4.1, 4.2, 4.3, 4.4, 5.1, 5.2
Learning Objectives:
The student will:
Section 4.1 Graphs of the Sine and Cosine Functions
1. Determine the period and amplitude of the sine and cosine functions.
2. Sketch the graphs of functions of the form y = a sin bx and y = a cos bx over a given
interval.
Section 4.2 Translations of the Graphs of the Sine and Cosine Functions
1. Determine the amplitude, period, vertical translation, and phase shift for the sine and cosine
functions.
2. Sketch the graphs of functions of the form y = a sin b ( x – d ) and y = a cos b ( x – d ) over a
given interval.
3. Sketch the graphs of functions of the form y = c + a sin b ( x – d ) and y = c + a sin b ( x – d)
over an interval.
Section 4.3 Graphs of the Tangent and Cotangent Functions
1. Sketch the graphs of y = tan x and y = cot x over a one period interval.
Section 4.4 Graphs of the Secant and Cosecant Functions
1. Sketch the graphs of y = sec x and y = csc x over a one period interval.
Section 5.1 Fundamental Identities
1. State and manipulate the Reciprocal Identities, the Quotient Identities, the Pythagorean
Identities, and the Negative-Angle Identities
2. Use the Fundamental Identities to find the trigonometric function values given the value of
one trigonometric function and the quadrant.
3. Use the Fundamental Identities to express one function in terms of another.
Section 5.2 Verifying Trigonometric Identities
1. Use the Fundamental Identities to prove other identities.
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Unit 4 Trigonometric Identities, Inverse Trigonometric Functions
and Trigonometric Equations
Sections 5.3, 5.4, 5.5, 5.6, 6.1
Learning Objectives:
The student will:
Section 5.3 Sum and Difference Identities for Cosine
1. Use the formulas for the cosine of the sum and difference of two angles to solve problems
and verify identities.
2. Use the cofunction identities to solve problems and verify identities.
Section 5.4 Sum and Difference Identities for Sine and Tangent
1. Use the identities for the sine and tangent of the sum and difference of two angles to solve
problems and verify identities.
Section 5.5 Double-Angle Identities
1. Apply the double-angle identities to solve problems and verify identities.
Section 5.6 Half-Angle Identities
1. Apply the half-angle identities to solve problems and verify identities.
Section 6.1 Inverse Circular Functions
1. Find the value of any given inverse trigonometric function.
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Unit 5 Trigonometric Equations, Oblique Triangles and Vectors
Sections 6.2, 6.3, 7.1, 7.2, 7.3, 7.5
Learning Objectives:
The student will:
Section 6.2 Trigonometric Equations I
1. Solve any given trigonometric equation involving functions of an angle.
Section 6.3 Trigonometric equations II
1. Solve any given trigonometric equation involving functions of multiple angles.
Section 7.1 Oblique Triangles and the Law of Sines
1. Use the Law of Sines to solve oblique triangles when given one side and two angles.
2. Solve applications using the Law of Sines.
3. Compute the area of a triangle given two sides and the included angle.
Section 7.2 The Ambiguous Case of the Law of Sines
1. Use the Law of Sines to determine the number of triangles possible when given two sides
and an angle opposite one of the given sides.
2. Use the Law of Sines to solve triangles that exist when given two sides and an angle
opposite
one of the given sides.
3. Solve applications using the Law of Sines.
Section 7.3 The Law of Cosines
1. Use the Law of Cosines to solve oblique triangles when given two sides and the included
angle.
2. Use the Law of Cosines to solve oblique triangles when the lengths of all three sides are
given.
3. Solve applications using the Law of Cosines.
4. Compute the area of a triangle using the formula derived from the Law of Cosines.
Section 7.5 Applications of Vectors
1. Use vectors to solve word problems involving incline and bearing.
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VII. Attendance Policy:
1. Attendance will be recorded every class meeting or the first day the student registers
for the course.
2. Students will receive a notice of absence via email at the time they have two (2)
absences. Students will be dropped from the class with an F on the fourth unexcused
absence. This number also includes absences accumulated from tardies. (See the
Student Handbook for more information.)
3. Failure to report to class at the beginning of the class period will result in a tardy.
Three tardies equal one unexcused absence. Students who miss more than 15
minutes of a class will be marked absent. A student who leaves the class room
without the permission of the instructor will be marked absent.
4. First day to withdraw from a full-semester class is February 26, 2014. Students
may withdraw with a W if the allowed number of absences has not been exceeded.
The last day to withdraw from a class or all classes is April 30, 2014.
VIII. Plagiarism / Academic Dishonesty:
Students are expected to maintain the highest standards of academic conduct. Cheating
on any examination, quiz, work to be completed in class, assigned work to be completed
outside class; cheating on final examinations; theft or attempted theft of examination
questions or possession of examination questions prior to the time for examination
period shall be offenses subject to penalties. See the current Hinds Community College
Student Handbook for a detailed explanation of consequences.
Excerpt from Student Handbook: Cheating on any examination, quiz, work to be
completed in class, assigned work to be completed outside class; cheating on term papers;
cheating on final examinations; plagiarism on any assignment; theft or attempted theft of
examination questions or possession of examination questions prior to the time for examination
period shall be offenses subject to the following penalties. The penalty for commission of any
offense set out above is failure in the course and possible dismissal or suspension from the
College. In any case where the instructor believes that an offense has been committed, the
following procedures will be observed: the instructor will immediately inform the student, the
department chairperson, the Academic Dean or Career-Technical Dean or Dean of Distance
Learning and the Dean of Students/appropriate dean that the offense is believed to have been
committed and the grade penalty has been imposed. If further action is deemed necessary, the
Dean of Students/appropriate dean, upon notification by the department chairperson, will
request the Disciplinary Committee to conduct a hearing in the matter and to make
recommendations to the Vice President. In any case in which a student has been accused, the
student may appeal to the Local Student Affairs Committee. (Demerits: 5 minimum 15
maximum)
IX. ADA Statement/Non-discrimination statement:
Official Hinds CC Disability Support Services Statement:
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Hinds Community College provides reasonable and appropriate accommodations for students
with disabilities. Disability Services staff members verify eligibility for accommodations and
work with eligible students who have self-identified and provided current documentation.
Students with disabilities should schedule an appointment with the designated Disability Services
staff member on their respective campuses to establish a plan for reasonable, appropriate
classroom accommodations. Students on the Vicksburg/Warren Campus should register in the
Counseling Office in the Banks Building. For a complete list of contacts for each Hinds campus,
visit http://www.hindscc.edu/compliance/Default.aspx .
Official Hinds CC Notice of Non-discrimination Statement:
Hinds Community College offers equal education and employment opportunities and does not
discriminate on the basis of race, color, national origin, religion, sex, age, disability, or veteran
status in its programs and activities. The following person has been designated to handle
inquiries regarding the non-discrimination policies: Dr. George Barnes, Vice President for
Administrative and Student Services, 34175 Hwy 18, Utica, MS 39175; 601.885.7001.
Statement on Harassment:
Harassment, including sexual harassment by employees, students, and visitors is prohibited by
both state and federal law. Sexual harassment is a form of unlawful discrimination. It is any
unwelcome verbal, visual, or physical behavior of a sexual nature to include sexual advances,
requests for sexual favors, and inappropriate or vulgar language or physical conduct of a sexual
nature. Males and females may be the victim or the initiator of sexual harassment. The victim
does not have to be of the opposite sex. It is important that students report this type of
activity to a college official. This may be Campus Police, Dean of Students, campus
dean, vice-president, Housing Office or your instructor.
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