## Math 026

### Plane Trigonometry

**3 credits**

**Blue Book Description:** Trigonometric functions; solutions of triangles; trigonometric equations; identities

**Pre-requisites:** MATH 021 or satisfactory performance on the mathematics proficiency examination (score at least 13 on MATH 040 SOAR test); one unit of geometry.

**Pre-requisite for:** MATH 140

**Suggested Textbook:**

Trigonometry, A Unit Circle Approach, 8th edition, 2008 Michael Sullivan, Pearson Education, Inc. ISBN-10: 0-13-239279-8*Check with your instructor to make sure this is the textbook used for your section.*

**Topics:**

Chapter 1: Graphs and Functions (review)

Section 1.1 The Distance and Midpoint Formulas

Section 1.2 Graphs and Equations in two variables; Circles

Section 1.3 Functions and Their Graphs

Section 1.4 Properties of Functions

Section 1.5 Library of Functions; Piecewise-defined Functions

Section 1.6 Graphing Techniques; Transformations

Section 1.7 One-to-One Functions; Inverse Functions

Chapter 2: Trigonometric Functions

Section 2.1 Angles and Their Measure

Section 2.2 Trigonometric Functions; Unit Circle Approach

Section 2.3 Properties of the Trigonometric Functions

Section 2.4 Graphs of Sine and Cosine Functions

Section 2.5 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions

Section 2.6 Phase Shift; Sinusoidal Curve Fitting

Chapter 3: Analytic Trigonometry

Section 3.1 Inverse Sine, Cosine and Tangent Functions

Section 3.2 Inverse Trigonometric Functions (continued)

Section 3.3 Trigonometric Identities

Section 3.4 Sum and Difference Formulas

Section 3.5 Double-angle and Half-angle Formulas

Section 3.6 Product-to-sum and Sum-to-product Formulas

Section 3.7 Trigonometric Equations (I)

Section 3.8 Trigonometric Equations (II)

Chapter 4: Applications of Trigonometric Functions

Section 4.1 Applications involving Right Triangles

Section 4.2 The Law of Sines

Section 4.3 The Law of Cosines

Section 4.4 Area of a Triangle

Section 4.5 Simple Harmonic Motion: Damped Motion: Combining Waves

Chapter 5: Polar Coordinates

Section 5.1 Polar Coordinates

Section 5.2 Polar Equations and Graphs