LSC-CyFair Math Department

**Catalog Description**

**Course Learning Outcomes**

• 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**

Lecture Hours: 3

Lab Hours: 0

External Hours: 0

Total Contact Hours: 48

**Prerequisites**

ENGL 0305 or ENGL 0365 OR higher level course (ENGL 1301), OR placement by testing

**Required Materials**

** Textbook: **Lial, Hornsby and Schneider;

** Calculator:**Graphing Calculator required. TI 83, TI 84 or TI 86 series calculators recommended.

Calculators capable of symbolic manipulation will not be allowed on tests. Examples include, but are not limited to, TI 89, TI 92, and Nspire CAS models and HP 48 models.

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

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 Finding Trigonometric Function values Using a Calculator

2.4 Solving Right Triangles

2.5 Further Applications of Right Triangles

**Chapter 3. Radian Measure and Circular Functions**

3.1 Radian Measure

3.2 Applications of Radian Measure

3.3 The Unit Circle and Circular Functions

3.4 Linear and Angular Speed

**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

**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 Vectors, Operations, and the Dot Product

7.5 Applications of Vectors

**Chapter 8. Complex Numbers and Polar Coordinates**

8.1 Complex Numbers (Review)

8.2 Trigonometric (Polar) Form of Complex Numbers