Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner’s TRIGONOMETRY. The book presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations such as cycling, the Ferris wheel, and the human cannonball show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began. The text is easy to read, and important theorems and definitions are boxed so they can be quickly identified for study purposes.
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1. THE SIX TRIGONOMETRIC FUNCTIONS.
Angles, Degrees, and Special Triangles.The Rectangular Coordinate System.
Definition I: Trigonometric Functions. Introduction to Identities. More on Identities.
2. RIGHT TRIANGLE TRIGONOMETRY.
Definition II: Right Triangle Trigonometry. Calculators and Trigonometric Functions of an Acute Angle. Solving Right Triangles. Applications. Vectors: A Geometric Approach. 3. RADIAN MEASURE.
Reference Angle. Radians and Degrees. Definition III: Circular Functions. Arc Length and Area of a Sector. Velocities.
4. GRAPHING AND INVERSE FUNCTIONS.
Basic Graphs. Amplitude, Reflection, and Period. Vertical and Horizontal Translations. The Other Trigonometric Functions. Finding an Equation From its Graph. Graphing Combinations of Functions. Inverse Trigonometric Functions. 5. IDENTITIES AND FORMULAS.
Proving Identities. Sum and Difference Formulas. Double-Angle Formulas. Half-Angle Formulas. Additional Identities.
6. EQUATIONS.
Solving Trigonometric Equations. More on Trigonometric Equations. Trigonometric Equations Involving Multiple Angles. Parametric Equations and Further Graphing.
7. TRIANGLES.
The Law of Sines. The Law of Cosines. The Ambiguous Case. The Area of a Triangle. Vectors: An Algebraic Approach. Vectors: The Dot Product.
8. COMPLEX NUMBERS AND POLAR COORDINATES.
Complex Numbers. Trigonometric Form for Complex Numbers. Products and Quotients in Trigonometric Form. Roots of a Complex Number. Polar Coordinates. Equations in Polar Coordinates and Their Graphs. APPENDIX A REVIEW OF TOPICS.
A.1 Review of Algebra. A.2 Review of Geometry. A.3 Introduction to Functions. A.4 The Inverse of a Function.
Answers to Selected Exercises.
Index.
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Produktdetaljer
ISBN
9781305652224
Publisert
2016-01-01
Utgave
8. utgave
Utgiver
Cengage Learning, Inc
Vekt
1380 gr
Høyde
12 mm
Bredde
82 mm
Dybde
99 mm
Aldersnivå
U, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
624