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

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