Trigonometry
Graphs & Models
2nd Edition
Published on 28. December 2015
Book
Hardback
576 pages
978-0-201-61676-7 (ISBN)
Description
Trigonometry: Graphs and Models, 2/e, covers college-level trigonometry and is appropriate for a one term, graphing calculator required course. The approach of this text is more interactive than most algebra texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
ISBN-13
978-0-201-61676-7 (9780201616767)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Introduction to Graphs and the Graphing Calculator.
1. Graphs, Functions, and Models.
Functions, Graphs, and Graphers.
Linear Functions, Slope, and Applications.
More on Functions.
Symmetry and Transformations.
Quadratic Functions and Applications.
Composite and Inverse Functions.
2. The Trigonometric Functions.
Trigonometric Functions of Acute Angles.
Applications of Right Triangles.
Trigonometric Functions of Any Angle.
Radians, Arc Length, and Angular Speed.
Circular Functions: Graphs and Properties.
Graphs of Transformed Sine and Cosine Functions.
3. Trigonometric Identities, Inverse Functions, and Equations.
Identities: Pythagorean and Sum and Difference.
Identities: Cofunction, Double-Angle, and Half-Angle.
Proving Trigonometric Functions.
Inverses of the Trigonometric Functions.
Solving Trigonometric Equations.
4. Triangles, Vectors, and Applications.
Laws of Sines.
Laws of Cosines.
Introduction to Complex Numbers.
Complex Numbers: Trigonometric Form.
Vectors and Applications.
Vector Operations.
5. Analytic Geometry Topics.
The Parabola.
The Circle and the Ellipse.
The Hyperbola.
Nonlinear System of Equations.
Rotation of Axes.
Polar Coordinates and Graphs.
Polar Equations of Conics.
Parametric Equations and Graphs.
Appendixes.
A. Solving Equations.
B. Distance, Midpoints, and Circles.
C. Data Analysis, Curve Fitting, and Regression.
1. Graphs, Functions, and Models.
Functions, Graphs, and Graphers.
Linear Functions, Slope, and Applications.
More on Functions.
Symmetry and Transformations.
Quadratic Functions and Applications.
Composite and Inverse Functions.
2. The Trigonometric Functions.
Trigonometric Functions of Acute Angles.
Applications of Right Triangles.
Trigonometric Functions of Any Angle.
Radians, Arc Length, and Angular Speed.
Circular Functions: Graphs and Properties.
Graphs of Transformed Sine and Cosine Functions.
3. Trigonometric Identities, Inverse Functions, and Equations.
Identities: Pythagorean and Sum and Difference.
Identities: Cofunction, Double-Angle, and Half-Angle.
Proving Trigonometric Functions.
Inverses of the Trigonometric Functions.
Solving Trigonometric Equations.
4. Triangles, Vectors, and Applications.
Laws of Sines.
Laws of Cosines.
Introduction to Complex Numbers.
Complex Numbers: Trigonometric Form.
Vectors and Applications.
Vector Operations.
5. Analytic Geometry Topics.
The Parabola.
The Circle and the Ellipse.
The Hyperbola.
Nonlinear System of Equations.
Rotation of Axes.
Polar Coordinates and Graphs.
Polar Equations of Conics.
Parametric Equations and Graphs.
Appendixes.
A. Solving Equations.
B. Distance, Midpoints, and Circles.
C. Data Analysis, Curve Fitting, and Regression.