Trigonometry, 5th Edition

An Overview of Trigonometry, 5th Edition

Mark Dugopolski’s Trigonometry, 5th Edition offers a clear, logically structured path through the core ideas of trigonometry. Designed for college students, the text begins with essential algebraic prerequisites and then builds toward trigonometric functions, equations, identities, and real-world applications. The explanations are concise, and the exercises provide consistent opportunities to strengthen both understanding and problem-solving skills.

What You’ll Find Inside

The book progresses through six major areas of study:

• Algebraic Prerequisites: Cartesian coordinates, functions, transformations, symmetry, compositions, and inverses.
• Angles and Trigonometric Functions: Degree and radian measure, arc length, angular and linear velocity, right triangle trigonometry, and the fundamental identity.
• Graphs of Trigonometric Functions: The unit circle, sine and cosine waves, secant, cosecant, tangent, and cotangent graphs.
• Trigonometric Identities: Basic identities, sum and difference formulas, double-angle and half-angle identities, and product-to-sum identities.
• Conditional Trigonometric Equations: Inverse functions, basic equations, compositions, and quadratic-type equations.
• Applications and Advanced Topics: Laws of sines and cosines, vectors, complex numbers, polar coordinates, and parametric equations.

A Closer Look at the Learning Support

Each chapter closes with a section of highlights, review exercises, and a chapter test. Answers to the exercises appear at the end of the book, making it easier to check progress and identify areas that need more work. The text also integrates with Pearson’s MyLab Math platform, which provides personalized homework, study plan assignments, and flexible course tools for instructors and students alike.

Who Will Benefit from This Book

Students taking a college trigonometry or precalculus course will find the sequence natural and approachable. Because the text balances conceptual understanding with procedural practice, it also works well for self-study, review, or as a reference for anyone who needs to revisit trigonometric techniques before moving into calculus, physics, engineering, or other STEM fields.

Why the Fifth Edition Works

This edition reflects years of refinement in presenting difficult ideas without unnecessary complication. The focus stays on the relationships between angles, triangles, periodic functions, and coordinate systems—topics that form a bridge between algebra and more advanced mathematics. The result is a dependable resource that rewards consistent practice and careful reading.