
1 The Six Trigonometric Functions 


1  (53) 

1.1 Angles, Degrees, and Special Triangles 


2  (13) 

1.2 The Rectangular Coordinate System 


15  (14) 

1.3 Definition I: Trigonometric Functions 


29  (8) 

1.4 Introduction to Identities 


37  (8) 


45  (5) 


50  (2) 


52  (2) 

2 Right Triangle Trigonometry 


54  (62) 

2.1 Definition II: Right Triangle Trigonometry 


55  (10) 

2.2 Calculators and Trigonometric Functions of an Acute Angle 


65  (9) 

2.3 Solving Right Triangles 


74  (10) 


84  (14) 

2.5 Vectors: A Geometric Approach 


98  (12) 


110  (3) 


113  (3) 


116  (52) 


117  (8) 


125  (10) 

3.3 Definition III: Circular Functions 


135  (8) 

3.4 Arc Length and Area of a Sector 


143  (11) 


154  (9) 


163  (3) 


166  (2) 

4 Graphing and Inverse Functions 


168  (78) 


169  (14) 


183  (18) 


201  (13) 

4.4 Finding an Equation from Its Graph 


214  (12) 

4.5 Graphing Combinations of Functions 


226  (4) 

4.6 Inverse Trigonometric Functions 


230  (10) 


240  (3) 


243  (3) 

5 Identities and Formulas 


246  (44) 


247  (9) 

5.2 Sum and Difference Formulas 


256  (10) 

5.3 DoubleAngle Formulas 


266  (7) 


273  (7) 

5.5 Additional Identities 


280  (6) 


286  (2) 


288  (2) 


290  (37) 

6.1 Solving Trigonometric Equations 


291  (7) 

6.2 More on Trigonometric Equations 


298  (7) 

6.3 Trigonometric Equations Involving Multiple Angles 


305  (8) 

6.4 Parametric Equations and Further Graphing 


313  (11) 


324  (1) 


325  (2) 


327  (49) 


328  (12) 


340  (6) 


346  (7) 

7.4 The Area of a Triangle 


353  (6) 

7.5 Vectors: An Algebraic Approach 


359  (12) 


371  (3) 


374  (2) 

8 Complex Numbers and Polar Coordinates 


376  


377  (8) 

8.2 Trigonometric Form for Complex Numbers 


385  (5) 

8.3 Products and Quotients in Trigonometric Form 


390  (6) 

8.4 Roots of a Complex Number 


396  (7) 


403  (9) 

8.6 Equations in Polar Coordinates and Their Graphs 


412  (9) 


421  (4) 


425  
Appendix: Exponential and Logarithmic Functions 

A1  
A.1 Exponential Functions 

A2  (9) 
A.2 Logarithms Are Exponents 

A11  (7) 
A.3 Properties of Logarithms 

A18  (3) 
A.4 Common Logarithms and Natural Logarithms 

A21  (7) 
A.5 Exponential Equations and Change of Base 

A28  (6) 
Answers to OddNumbered Exercises and Chapter Tests 

A34  
Index 

I1  