Trigonometry – Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels – 11th Edition


The College Algebra series, by Lial, Hornsby, Schneider, and Daniels, combines the expertise of master teachers to help students develop both the conceptual understanding and analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student expectations and new classroom models. The Lial team now offers a new set of resources to support today’s instructors and students.

KEY THEMES: Trigonometric functions; Acute angles and right triangles; Radian Measure and the unit circle; Graphs of circular functions; Trigonometric identities; Inverse circular functions and trigonometric equations; Trigonometry and vector applications; Complex numbers, polar equations, and parametric equations

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  • Preface
    Resources for Success
    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

    2. Acute Angles and Right Triangles
    2-1 Trigonometric Functions of Acute Angles
    2-2 Trigonometric Functions of Non-Acute Angles
    2-3 Approximations of Trigonometric Function Values
    2-4 Solutions and Applications of Right Triangles
    2-5 Further Applications of Right Triangles

    3. Radian Measure and the Unit Circle
    3-1 Radian Measure
    3-2 Applications of Radian Measure
    3-3 The Unit Circle and Circular Functions
    3-4 Linear and Angular Speed

    4. Graphs of the Circular Functions
    4-1 Graphs of the Sine and Cosine Functions
    4-2 Translations of the Graphs of Sine and Cosine Functions
    4-3 Graphs of the Tangent and Cotangent Functions
    4-4 Graphs of the Secant and Cosecant Functions
    4-5 Harmonic Motion

    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

    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

    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 Geometrically Defined Vectors and Applications
    7-5 Algebraically Defined Vectors and the Dot Product

    8. Complex Numbers, Polar Equations, and Parametric Equations
    8-1 Complex Numbers
  • Citation

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