PENN STATE UNIVERSITY
ABINGTON COLLEGE 
MATHEMATICS DEPARTMENT

MATH 26

Catalogue Description: PLANE TRIGNOMETRY (3: 3: 0). Trigonometric 
functions; solutions of triangles; trigonometric equations; identities.

Prerequisite: Math 21 or satisfactory performance on the athematics
(algebra) proficiency examination; one unit of geometry.

Text: Trigonometry, 7th ed., Pearson/Prentice Hall

TOPICS

CHAPTER 1 GRAPHS AND FUNCTIONS
   1.1 	Rectangular Coordinates
   1.2	Graphs of Equations; Circles
   1.3	Functions and Their Graphs
   1.4	Properties of Functions; Library of Functions
   1.5	Graphing Techniques:  Transformations
   1.6	Inverse Functions

CHAPTER 2  TRIGONOMETRIC FUNCTIONS
   2.1	Angles and Their Measure
   2.2	Trigonometric Functions:  Unit Circle Approach
   2.3	Properties of the Trigonometric Functions
   2.4	Graphs of the Sine and cosine Functions
   2.5	Graphs of the Tangent, Cotangent, Cosecant, and 				Secant Functions
   2.6	Phase Shift; Sinusoidal Curve Fitting

CHAPTER 3  ANALYTIC TRIGONOMETRY
   3.1	The Inverse Sine, Cosine, and Tangent Functions
   3.2	The Inverse Trigonometric Functions (continued)
   3.3	Trigonometric Identifies
   3.4	Sum and Difference Formulas
   3.5	Double-Angle and Half-Angle Formulas
   3.6	Product-to-Sum and Sum-to-Product Formulas
   3.7	Trigonometric Equations I
   3.8	Trigonometric Equations II

CHAPTER 4  APPLICATIONS OF TRIGONOMETRIC FUNCTIONS
   4.1	Right Triangle Trigonometry; Applications
   4.2	The Law of Sines
   4.3	The Law of Cosines
   4.4	The Area of a Triangle
   4.5	Simple Harmonic Motion

CHAPTER 5  POLAR COORDINATES; VECTORS
   5.1	Polar Coordinates
   5.2	Polar Equations and Graphs
   5.3	The Complex Plane; De Moivre's Theorem

The Mathematics Department requires that the instructor must adhere to the syllabus.
(8/23/04)