Trigonometry Syllabus for 2021-2022
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MATH-1316-DC018 Trigonometry


Prerequisite: MATH 1414-minimum grade of C or Department Chair consent

Course Description

In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.

Student ResourcesStudent Resources Website

Department Expectations

Occupational License Disclaimer

Notice to Students enrolled in an educational program for preparation of issuance of certain occupational licenses:

Students enrolled in an educational program in preparation for obtaining certain occupational licenses are potentially ineligible for such license if the student has been convicted of an offense. For further information, please contact:

Melodie Graves
Justice Involved Advocate
Student Service Center 117
Make appointment at

You can also contact the Legal Clinic, or the faculty member in charge of the educational program that you seek to enroll in. The further information you will receive will include notification to you of your right to request a criminal history evaluation letter from the licensing authority in order to clarify your particular situation.


(3 sem hrs; 3 lec)

Class Type

Dual Credit Course

Syllabus Information


Precalculus: Graphical, Numerical, Algebraic, Demans, Waits, Foley, Kennedy, Seventh Edition, Addison Wesley Publishers


REQUIRED MATERIALS:  graphing calculator, quad-ruled composition book, pencil, highlighter

Student Performance

PERFORMANCE/LEARNING OBJECTIVES:   Upon successful completion of this course, students will:

  1. Compute the values of the trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
  2. Graph trigonometric functions and their transformations.
  3. Prove trignonometric identities.
  4. Solve trigonometric equations.
  5. Solve right and oblique triangles.
  6. Use the concepts of trigonometry to solve applications.

Students Rights and Responsibilities

Student Rights and Responsibilities

Log in using the AC Connect Portal

In order to receive your AC Connect Email, you must log in through AC Connect at .

If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".

Expected Student Behavior


Students are expected to follow the Randall High School Student Code of Conduct.

Grading Criteria

DAILY WORK: Practice is assigned daily.

QUIZZES: Three to four unannounced quizzes will be give each week.

TESTS: There will be 7 major unit tests and a comprehensive final.

GRADING: At Randall, quizzes count as half grade, tests count as three grades. Your AC grade will be 20% quizzes, 60% tests, 20% final exam.


Free Help:  If you feel yourself getting behind in class or having problems with certain concepts covered, get help immediately.  It is YOUR responsibility to get help.

1.      Your instructor is your first, BEST resource for help.  Feel free to come to office hours or make an appointment.

2.     Free one-on-one tutoring at the Student Math Outreach Center in Durrett 104 is available.  You will need your AC ID to sign in.  Hours:  MTWRF 8am – 8pm, Sat 9am-8pm, Sun closed.

3.     If you are not on campus and it is an emergency then you may sign up for free using your student email by searching “EasyMath College” in the App Stores or Text “Math” to 797979 from 8am -8pm M-F and 9am-8pm on Saturday.



Follow Randall High School attendance policies.




Circular Trig, Trig Graphs, Trig Identities, Trig Equations, Triangle Trig, Polar Curves, Series & Sequence, Intro to Calculus

The comprehensive final exam for this course will be given on the last regularly schedule class day at Randall High School.

Week 1...Circular Trig

Degree/Radian conversion

Reference and terminal angles

Definitions of six circular trig functions



Week 2...Circular Trig

Trig function values for special angles

Angular velocity

Area of sectors and triangles



Week 3...Trig Graphs

Graphing sine and cosine

Amplitude, period, and phase shift on trig functions



Week 4...Trig Graphs

Equations of trig functions from graphs

Graphs of tangent, cotangent, secant, cosecant



Week 5...Finish Trig Graphs, Begin Trig Identities

Inverse trig functions

Principal values

Fundamental Trig identities—fundamental,



Week 6...Trig Identities

Sum & difference identities

Odd & even and opposite angle identities

Verifying trig identities algebraically and graphically



Week 7...Trig Identities

Double angle & half angle identities

More verifying identities



Week 8...Trig Equations

Solve simple (without identity substitutions) trig equations algebraically

Solve trig equations with identity substitutions algebraically

Solve trig equations with coefficient on the angle variable algebraically



Week 9...Finish Trig Equations, Begin Triangle Trig

Solve trig equations graphically

Right triangle solutions

Applications of right triangle


Week 10...Triangle Trig

Solution of triangles using Law of Sines (ASA or AAS)

Solution of triangles using Law of Cosines (SSS or SAS)

Solution of triangles—Ambiguous Case, multiple solutions



Week 11...Triangle Trig

Applications of oblique triangles

Basic Vector notation, resolution into components, vector addition, and scalar multiplication



Week 12...Polar Graphs

Convert points between polar and rectangular notation

Convert equations between polar and rectangular notation

Identify classic polar graphs from equations

Locate intersections on polar graphs

Arcs on Polar Graphs



Week 13...Finish Polar Graphs, Begin Parametrics

Polar form of complex numbers

Product, quotient and powers of complex numbers in polar form

Motion defined parametrially


Week 14...Parametrics

Parametric polygons

Parametric inverses

Parametric vectors



Week 15...Sequence and Series

Arithmetic and geoemetric sequence and series

Summation notation




Week 16...Sequence and Series

Ratio Test



Week 17...Introduction to Calculus

Limits at a finite point and infinity—graphically  and algebraically

Derivatives of polynomials

Derivatives using product rule, quotient rule and simple chain rule



Week 18...Introduction to Calculus

Applications to velocity and acceleration

Introduction to the concept of anti-derivative and accumulation

Introduction to slope fields


Additional Information

Syllabus Created on:

01/18/22 4:19 PM

Last Edited on:

01/20/22 10:28 AM