eText Reference for Trigonometry

Description

BRIEF TABLE OF CONTENTS:

NOTE: Both brief and comprehensive tables of contents are listed below.

1. An Introduction to Trigonometric Functions
2. The Graphs of Trigonometric Functions
3. Trigonometric Identities, Formulas, and Equations
4. Applications of Trigonometry
5. Polar Equations, Complex Numbers, and Vectors

Appendix: Degree, Minute, Second Form and Degree Decimal Form

COMPREHENSIVE TABLE OF CONTENTS:

1. An Introduction to Trigonometric Functions
   • 1.1 An Introduction to Angles: Degree and Radian Measure
   • 1.2 Applications of Radian Measure
   • 1.3 Triangles
   • 1.4 Right Triangle Trigonometry
   • 1.5 Trigonometric Functions of General Angles
   • 1.6 The Unit Circle
2. The Graphs of Trigonometric Functions
   • 2.1 The Graphs of Sine and Cosine
   • 2.2 More on Graphs of Sine and Cosine; Phase Shift
   • 2.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions
   • 2.4 Inverse Trigonometric Functions I
   • 2.5 Inverse Trigonometric Functions II
3. Trigonometric Identities, Formulas, and Equations
   • 3.1 Trigonometric Identities
   • 3.2 The Sum and Difference Formulas
   • 3.3 The Double-Angle and Half-Angle Formulas
   • 3.4 The Product-to-Sum and Sum-to-Product Formulas
   • 3.5 Trigonometric Equations
4. Applications of Trigonometry
   • 4.1 Right Triangle Applications
   • 4.2 The Law of Sines
   • 4.3 The Law of Cosines
   • 4.4 Area of Triangles
5. Polar Equations, Complex Numbers, and Vectors
   • 5.1 Polar Coordinates and Polar Equations
   • 5.2 Graphing Polar Equations
   • 5.3 Complex Numbers in Polar Form; DeMoivre’s Theorem
   • 5.4 Vectors
   • 5.5 The Dot Product

Appendix: Degree, Minute, Second Form and Degree Decimal Form

• Chapter Summaries are organized by section and highlight important concepts and definitions with side-by-side examples and videos to make it easy for students to study key concepts. Chapter Summaries are assignable in MyLab™ Math, like a sample assignment.

• The Exercise Program has been expanded with over 1,200 new and updated exercises. Exercises help students make the most of their time spent on homework, and maximize the digital environment to increase conceptual understanding. All exercises are assignable in MyLab Math and appear in the printed eText Reference.

• Author scripted Guided Visualizations bring mathematical concepts to life, helping you visualize the concepts through directed explorations and purposeful manipulation. Guided Visualizations are integrated into the eText and can be assigned in MyLab Math to encourage active learning, critical thinking, and conceptual understanding.

• Video Assessment questions are assignable MyLab Math exercises tied to key video topics.  These questions are designed to check students’ understanding of the important math concepts covered in the video. Questions are assignable in MyLab Math.

• Enhanced Sample Assignments by Kirk Trigsted make course set-up easier by giving instructors a starting point for each chapter. Each assignment, handpicked by the author to align with this text, includes a thoughtful mix of question types (e.g., conceptual, skills, etc.) specific to that topic.

• Skill Builder offers adaptive practice that is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.

• Drag and Drop Exercises are a new MyLab Math exercise type that allows students to drag items containing math expressions, words, graphs, or images from a starting bin into designated target areas. Students are asked to perform a higher level of decision making in their answers with these exercise types.