Skip to main content\(\newcommand{\alert}[1]{\boldsymbol{\color{magenta}{#1}}}
\newcommand{\blert}[1]{\boldsymbol{\color{blue}{#1}}}
\newcommand{\bluetext}[1]{\color{skyblue}{#1}}
\delimitershortfall-1sp
\newcommand\abs[1]{\left|#1\right|}
\newcommand\degree[0]{^{\circ}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\newcommand{\fillinmath}[1]{\mathchoice{\underline{\displaystyle \phantom{\ \,#1\ \,}}}{\underline{\textstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptscriptstyle\phantom{\ \,#1\ \,}}}}
\)
Appendix A Answers to Selected Exercises and Homework Problems
1 Triangles and Circles
1.1 Angles and Triangles
Homework 1.1
7.
9.
11.
13.
15.
17.
19.
23.
29.
31.
45.
47.
1.2 Similar Triangles
Homework 1.2
5.
39.
1.3 Circles
Homework 1.3
1.
13.
15.
25.
27.
29.
31.
33.
39.
43.
51.
53.
55.
1.4 Chapter 1 Summary and Review
Chapter 1 Review Problems
45.
47.
49.
51.
53.
2 The Trigonometric Ratios
2.1 Side and Angle Relationships
Homework 2.1
13.
15.
33.
35.
39.
43.
2.2 Right Triangle Trigonometry
Homework 2.2
1.
3.
51.
53.
55.
65.
67.
2.3 Solving Right Triangles
Homework 2.3
33.
49.
51.
59.
73.
75.
77.
2.4 Chapter 2 Summary and Review
Chapter 2 Review Problems
5.
13.
15.
17.
33.
35.
37.
39.
41.
43.
3 Laws of Sines and Cosines
3.1 Obtuse Angles
Homework 3.1
1.
21.
23.
39.
45.
47.
55.
61.
63.
3.2 The Law of Sines
Homework 3.2
43.
45.
49.
3.3 The Law of Cosines
Homework 3.3
1.
3.
5.
59.
61.
3.4 Chapter 3 Summary and Review
Chapter 3 Review Problems
3.
19.
47.
51.
53.
55.
4 Trigonometric Functions
4.1 Angles and Rotation
Homework 4.1
1.
3.
5.
49.
51.
53.
55.
57.
65.
4.2 Graphs of Trigonometric Functions
Homework 4.2
1.
3.
9.
19.
21.
23.
25.
27.
29.
4.3 Using Trigonometric Functions
Homework 4.3
65.
67.
69.
71.
73.
75.
4.4 Chapter 4 Summary and Review
Chapter 4 Review Problems
1.
7.
33.
47.
49.
63.
5 Equations and Identities
5.1 Algebra with Trigonometric Ratios
Homework 5.1
57.
59.
61.
63.
65.
67.
69.
5.2 Solving Equations
Homework 5.2
19.
21.
23.
25.
27.
29.
31.
5.3 Trigonometric Identities
Homework 5.3
77.
5.4 Chapter 5 Summary and Review
Chapter 5 Review Problems
45.
6 Radians
6.1 Arclength and Radians
Homework 6.1
1.
11.
53.
55.
57.
6.2 The Circular Functions
Homework 6.2
31.
45.
47.
59.
67.
69.
75.
6.3 Graphs of the Circular Functions
Homework 6.3
1.
3.
5.
7.
59.
61.
67.
69.
79.
6.4 Chapter 6 Summary and Review
Chapter 6 Review Problems
15.
17.
41.
67.
7 Circular Functions
7.1 Transformations of Graphs
Homework 7-1
45.
47.
7.2 The General Sinusoidal Function
Homework 7-2
1.
3.
5.
7.
9.
11.
13.
15.
17.
19.
27.
29.
7.3 Solving Equations
Homework 7-3
29.
31.
33.
35.
37.
39.
41.
43.
45.
7.4 Chapter 7 Summary and Review
Review Problems
8 More Functions and Identities
8.1 Sum and Difference Formulas
Homework 8-1
1.
3.
5.
7.
9.
11.
59.
61.
73.
75.
77.
91.
8.2 Inverse Trigonometric Functions
Homework 8-2
49.
51.
59.
61.
63.
65.
67.
69.
71.
8.3 The Reciprocal Functions
Homework 8-3
19.
29.
31.
39.
53.
55.
57.
89.
91.
93.
95.
8.4 Chapter Summary and Review
Review Problems
9.
11.
13.
31.
39.
83.
9 Vectors
9.1 Geometric Form
Homework 9-1
51.
9.2 Coordinate Form
Homework 9-2
5.
11.
61.
9.3 The Dot Product
Homework 9-3
37.
39.
41.
49.
51.
53.
9.4 Chapter Summary and Review
Review Problems
10 Polar Coordinates and Complex Numbers
10.1 Polar Coordinates
Homework 10-1
51.
53.
55.
57.
59.
61.
63.
73.
10.2 Polar Graphs
Homework 10-2
5.
7.
9.
11.
13.
15.
17.
19.
21.
23.
25.
27.
29.
31.
33.
35.
37.
39.
41.
83.
10.3 Complex Numbers
Homework 10-3
33.
59.
61.
63.
65.
10.4 Polar Form for Complex Numbers
Homework 10-4
23.
49.
51.
53.
61.
65.
10.5 Chapter Summary and Review
Review Problems
45.
