Trigonometría Analítica con Aplicaciones – Raymond A. Barnett – 11va Edición

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