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Full Description
Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY, 7E, International Edition. This book's proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations drawn from Lance Armstrong's cycling success, the Ferris wheel, and even the human cannonball show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began.
Contents
1. THE SIX TRIGNONMETRIC FUNCTIONS. Angles, Degrees, and Special Triangles. The Rectangular Coordinate System. Definition I: Trigonometric Functions. Introduction to Identities. More on Identities. Summary. Test. Projects.2. RIGHT ANGLE TRIGONOMETRY. Definition II: Right Triangle Trigonometry. Calculators and Trigonometric Functions of an Acute Angle. Solving Right Triangles. Applications. Vectors: A Geometric Approach. Summary. Test. Projects.3. RADIAN MEASURE. Reference Angle. Radians and Degrees. Definition III: Circular Functions. Arc Length and Area of a Sector. Velocities. Summary. Test. Projects. Cumulative Test.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. Summary. Test. Projects.5. IDENTITIES AND FORMULAS. Proving Identities. Sum and Difference Formulas. Double-Angle Formulas. Half-Angle Formulas. Additional Identities. Summary. Test. Projects.6. EQUATIONS. Solving Trigonometric Equations. More on Trigonometric Equations. Trigonometric Equations Involving Multiple Angles. Parametric Equations and Further Graphing. Summary. Test. Projects. Cumulative Test.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. Summary. Test. Projects.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. Projects. Cumulative Test.Introduction to Functions. The Inverse of a Function. Answers to Selected Exercises.Index.
