Chapter 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
Chapter 2 TRIGONOMETRIC FUNCTIONS
2.1 Degrees
and Radians
2.2 Linear
and Angular Velocity
2.3 Trigonometric
Functions:
2.4 Additional
Applications
2.5 Exact
Values and Properties of Trigonometric Functions
Chapter 3 GRAPHING TRIGONOMETRIC FUNCTIONS
3.1 Basic
Graphs
3.2 Graphing
y = k + sin Bx
and y = k + cos Bx
3.3 Graphing
y = k + A sin(Bx+ C) and y = k + cos(Bx
+ C)
3.4 Additional
Applications
3.5 Graphing
Combined Forms
3.6 Tangent,
Cotangent, Secant, and Cosecant Functions Revisited
Chapter 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
Chapter 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 Utility Approach
Chapter 6 ADDITIONAL TOPICS: TRIANGLES AND VECTORS
6.1 Law of Sines
6.2 Law of
Cosines
6.3 Areas
of Triangles
6.4 Vectors:
Geometrically Defined
6.5 Vectors:
Algebraically Defined
6.6 The Dot
Product
Chapter 7
- POLAR COORSINATES; COMPLEX NUMBERS
7.1 Polar
and Rectangular Coordinates
7.2 Sketching
Polar Equations
7.3 The
Complex Plane
7.4 De Moivres Theorem and the nth-Root Theorem
Appendix A COMMENTS ON NUMBERS
A.1 Real
Numbers
A.2 Complex
Numbers
A.3 Significant
Digits
Appendix B FUNCTIONS AND INVERSE FUNCTIONS
B.1 Functions
B.2 Graphs
and Transformations
B.3 Inverse
Functions
Appendix C PLANE GEOMETRY: SOME USEFUL FACTS
C.1 Lines
and Angles
C.2 Triangles
C.3 Quadrilaterals
C.4 Circles