Analytic Trigonometry with Applications – Raymond A. Barnett – 11th Edition

Description

, Analytic is a text that can actually read, understand, and apply. Concept development moves from the to abstract to engage the . Almost every concept is illustrated by an example followed by a matching problem allowing to knowledge precisely when they acquire it.

To gain student interest quickly, the text moves directly into trigonometric concepts and and reviews essential material from prerequisite courses only as needed. Extensive chapter review summaries, chapter and cumulative review exercises with answers keyed to the corresponding text sections, effective use of color comments and annotations, and prominent displays of important material all help the student master the subject. Analytic Trigonometry 11th edition includes updated from a range of different to convince all students that trigonometry is really useful.

Table of Contents

1 RIGHT TRIANGLE RATIOS
1.1 Angles, Degrees, and Arcs
1.2 Similar Triangles
1.3 Trigonometric Ratios and Right Triangles
1.4 Right Triangle Applications

2 TRIGONOMETRIC FUNCTIONS
2.1 Degrees and Radians
2.2 Linear and Angular Velocity
2.3 Trigonometric Functions: Unit Circle Approach
2.4 Additional Applications
2.5 Exact Values and Properties of Trigonometric Functions

3 GRAPHING TRIGONOMETRIC FUNCTIONS
3.1 Basic Graphs
3.2 Graphing and
3.3 Graphing and
3.4 Additional Applications
3.5 Graphing the Sum of Functions
3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited

4 IDENTITIES
4.1 Fundamental Identities and Their Use
4.2 Verifying Trigonometric Identities
4.3 Sum, Difference, and Cofunction Identities
4.4 Double-Angle and Half-Angle Identities
4.5 Product–Sum and Sum–Product Identities

5 INVERSE TRIGONOMETRIC FUNCTIONS; TRIGONOMETRIC EQUATIONS AND INEQUALITIES
5.1 Inverse Sine, Cosine, and Tangent Functions
5.2 Inverse Cotangent, Secant, and Cosecant Functions
5.3 Trigonometric Equations: An Algebraic Approach
5.4 Trigonometric Equations and Inequalities: A Graphing Calculator Approach

6 ADDITIONAL TOPICS: TRIANGLES AND VECTORS
6.1 Law of Sines
6.2 Law of Cosines
6.3 Areas of Triangles
6.4 Vectors
6.5 The Dot Product

7 POLAR COORDINATES; COMPLEX NUMBERS
7.1 Polar and Rectangular Coordinates
7.2 Sketching Polar Equations
7.3 The Complex Plane
7.4 De Moivre’s Theorem and the nth-Root Theorem
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