Trigonometry / Edition 6by Charles P. McKeague, Mark D. Turner
Pub. Date: 09/26/2007
Publisher: Cengage Learning
The emphasis of the textbook is on understanding the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the textbook. There are numerous calculator notes placed throughout the text.
Table of Contents1. The Six Trigonometric Functions. Angles, Degrees, and Special Triangles. The Rectangular Coordinate System. Definition I: Trigonometric Functions. Introduction to Identities. More on Identities. Summary. Test. 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. Summary. Test. 3. Radian Measure. Reference Angle. Radians and Degrees. Definition III: Circular Functions. Arc Length and Area of a Sector. Velocities. Summary. Test. 4. Graphing and Inverse Functions. Basic Graphs. Amplitude and Period. Phase Shift. Finding an Equation from Its Graph. Graphing Combinations of Functions. Inverse Trigonometric Functions. Summary. Test. 5. Identities and Formulas. Proving Identities. Sum and Difference Formulas. Double-Angle Formulas. Half-Angle Formulas. Additional Identities. Summary. Test. 6. Equations. Solving Trigonometric Equations. More on Trigonometric Equations. Trigonometric Equations Involving Multiple Angles. Parametric Equations and Further Graphing. Summary. Test. 7. Triangles. The Law of Sines. The Ambiguous Case. The Law of Cosines. The Area of a Triangle. Vectors: An Algebraic Approach. Summary. Test. 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. Summary. Test. Appendix A: Exponential and Logarithmic Functions. Appendix B: Exponential Functions. Appendix C: Logarithms Are Exponents. Appendix D: Propertiesof Logarithms. Appendix E: Common Logarithms and Natural Logarithms. Appendix F: Exponential Equations and Change of Base. Answers to Odd-Numbered Exercises and Chapter Tests. Index.
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