Math 1316 Trigonometry Information

LSC-CyFair Math Department

Catalog Description

Trigonometric functions and their applications, solutions of right and oblique triangles, trigonometric identities and equations, inverse trigonometric functions, graphs of the trigonometric functions, vectors and polar coordinates.

Course Learning Outcomes

The student will:

  • Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
  • Compute values of the six basic inverse trigonometric functions.
  • Graph trigonometric functions and their transformations.
  • Prove trigonometric identities.
  • Solve trigonometric equations.
  • Solve right and oblique triangles.
  • Use the concepts of trigonometry to solve applications.
  • Compute operations of vectors.
  • Represent complex numbers in trigonometric form.

Contact Hour Information

Credit Hours:  3
Lecture Hours:  3
Lab Hours:  0
External Hours:  0
Total Contact Hours:  48


MATH 1314 OR placement by testing;
College level readiness in reading and writing

Required Materials

Textbook:   Lial, Hornsby and Schneider; Trigonometry, 12th ed.; Pearson
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at
ISBN for hard copies of MyMathLab 18 week access codes: 9780135924136
Hardbound text (optional):  9780135924181        
Hardbound text + free MyMathLab access:  9780136857631


Calculators may be required for some assignments/assessments at the discrection of the Instructor.  Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators.  Calculators may be cleared before tests.

Trigonometric Formulas

There is a collection of facts, formulas and identities from this course that students should be expected to memorize because having them at ready recollection is essential for their success in Precalculus, Calculus and beyond.  Instructors should design test items that require these formulas in order to assess whether they have been learned.  Students must not be allowed to bring these to the test on a formula sheet nor should instructors provide these formulas to them.

Click here for required trigonometric formulas.

Textbook Sections

Chapter 1.  Trigonometric Functions

1.1 Angles

1.2 Angle relationships and Similar Triangles

1.3 Trigonometric Functions

1.4 Using the Definitions of the Trigonometric Functions


Chapter 2.  Acute Angles and Right Triangles

2.1 Trigonometric Functions of Acute Angles

2.2 Trigonometric Functions of Non-Acute Angles

2.3 Approximations of Trigonometric Function Values

2.4 Solutions and Applications of Right Triangles

2.5 Further Applications of Right Triangles


Chapter 3. Radian Measure and the Unit Circle

3.1 Radian Measure

3.2 Applications of Radian Measure

3.3 The Unit Circle and Circular Functions

3.4 Linear and Angular Speed (optional)


Chapter 4. Graphs of the Circular Functions

4.1 Graphs of the Sine and Cosine Functions

4.2 Translations of the Graphs of the Sine and Cosine Functions

4.3 Graphs of the Tangent and Cotangent Functions

4.4 Graphs of the Secant and Cosecant Functions


Chapter 5.  Trigonometric Identities

5.1 Fundamental Identities

5.2 Verifying Trigonometric Identities

5.3 Sum and Difference Identities for Cosine

5.4 Sum and Difference Identities for Sine and Tangent

5.5 Double-Angle Identities

5.6 Half-Angle Identities


Chapter 6. Inverse Circular Functions and Trigonometric Equations

6.1 Inverse Circular Functions

6.2 Trigonometric Equations I

6.3 Trigonometric Equations II

6.4 Equations Involving Inverse Trigonometric Functions (optional)


Chapter 7. Applications of Trigonometry and Vectors

7.1 Oblique Triangles and the Law of Sines

7.2 The Ambiguous Case of the Law of Sines

7.3 The Law of Cosines

7.4 Geometrically Defined Vectors and Applications

7.5 Algebraically Defined Vectors and the Dot Product


Chapter 8. Complex Numbers and Polar Coordinates

8.1 Complex Numbers (review)

8.2 Trigonometric (Polar) Form of Complex Numbers

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