Precalculus with Trigonometry Concepts and Applications 3rd edition

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Paul A. Foerster
Publisher: Kendall Hunt

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  • Chapter 1: Functions and Mathematical Models
    • 1.1: Functions: Graphically, Algebraically, Numerically, and Verbally (5)
    • 1.2: Types of Functions (21)
    • 1.3: Dilation and Translation of Function Graphs (20)
    • 1.4: Composition of Functions (10)
    • 1.5: Inverse Functions and Parametric Equations (17)
    • 1.6: Reflections, Absolute Values, and Other Transformations (11)
    • 1.7: Precalculus Journal
    • 1.8: Chapter Review and Test (47)

  • Chapter 2: Properties of Elementary Functions
    • 2.1: Shapes of Function Graphs (4)
    • 2.2: Identifying Functions from Graphical Patterns (13)
    • 2.3: Identifying Functions from Numerical Patterns (20)
    • 2.4: Properties of Logarithms (24)
    • 2.5: Logarithms: Equations and Other Bases (26)
    • 2.6: Logarithmic Functions (7)
    • 2.7: Logistic Functions for Restrained Growth (4)
    • 2.8: Chapter Review and Test (50)

  • Chapter 3: Fitting Functions to Data
    • 3.1: Introduction to Regression for Linear Data (6)
    • 3.2: Deviations, Residuals, and the Correlation Coefficient (5)
    • 3.3: Regression for Nonlinear Data (6)
    • 3.4: Linearizing Data and Logarithmic Graph Paper (15)
    • 3.5: Residual Plots and Mathematical Models (10)
    • 3.6: Chapter Review and Test (28)

  • Chapter 4: Polynomial and Rational Functions
    • 4.1: Introduction to Polynomial and Rational Functions (7)
    • 4.2: Quadratic Functions, Factoring, and Complex Numbers (26)
    • 4.3: Graphs and Zeros of Higher-Degree Functions (18)
    • 4.4: Fitting Polynomial Functions to Data (9)
    • 4.5: Rational Functions: Asymptotes and Discontinuities (19)
    • 4.6: Partial Fractions and Operations with Rational Expressions (9)
    • 4.7: Fractional Equations and Extraneous Solutions (14)
    • 4.8: Chapter Review and Test (43)
    • 4.9: Cumulative Review, Chapters 1–4

  • Chapter 5: Periodic Functions and Right Triangle Problems
    • 5.1: Introduction to Periodic Functions (4)
    • 5.2: Measurement of Rotation (9)
    • 5.3: Sine and Cosine Functions (12)
    • 5.4: Values of the Six Trigonometric Functions (28)
    • 5.5: Inverse Trigonometric Functions and Triangle Problems (14)
    • 5.6: Chapter Review and Test (32)

  • Chapter 6: Applications of Trigonometric and Circular Functions
    • 6.1: Sinusoids: Amplitude, Period, and Cycles (9)
    • 6.2: General Sinusoidal Graphs (17)
    • 6.3: Graphs of Tangent, Cotangent, Secant, and Cosecant Functions (11)
    • 6.4: Radian Measure of Angles (19)
    • 6.5: Circular Functions (20)
    • 6.6: Inverse Circular Relations: Given y, Find x (7)
    • 6.7: Sinusoidal Functions as Mathematical Models (7)
    • 6.8: Rotary Motion (12)
    • 6.9: Chapter Review and Test (45)

  • Chapter 7: Trigonometric Function Properties and Identities, and Parametric Functions
    • 7.1: Introduction to the Pythagorean Property (6)
    • 7.2: Pythagorean, Reciprocal, and Quotient Properties (14)
    • 7.3: Identities and Algebraic Transformation of Expressions (54)
    • 7.4: Arcsine, Arctangent, Arccosine, and Trigonometric Equations (22)
    • 7.5: Parametric Functions (15)
    • 7.6: Inverse Trigonometric Relation Graphs (16)
    • 7.7: Chapter Review and Test (37)

  • Chapter 8: Properties of Combined Sinusoids
    • 8.1: Introduction to Combinations of Sinusoids (8)
    • 8.2: Composite Argument and Linear Combination Properties (19)
    • 8.3: Other Composite Argument Properties (21)
    • 8.4: Composition of Ordinates and Harmonic Analysis (9)
    • 8.5: The Sum and Product Properties (15)
    • 8.6: Double and Half Argument Properties (23)
    • 8.7: Chapter Review and Test (37)

  • Chapter 9: Triangle Trigonometry
    • 9.1: Introduction to Oblique Triangles (3)
    • 9.2: Oblique Triangles: The Law of Cosines (11)
    • 9.3: Area of a Triangle (8)
    • 9.4: Oblique Triangles: The Law of Sines (8)
    • 9.5: The Ambiguous Case (8)
    • 9.6: Vector Addition (13)
    • 9.7: Real-World Triangle Problems (10)
    • 9.8: Chapter Review and Test (36)
    • 9.9: Cumulative Review, Chapters 5–9

  • Chapter 10: Conic Sections and Quadric Surfaces
    • 10.1: Quadratic Relations and Conic Sections (8)
    • 10.2: Cartesian Equations for Conic Sections (21)
    • 10.3: Parametric Equations for Conic Sections (10)
    • 10.4: Quadric Surfaces and Inscribed Figures (14)
    • 10.5: Analytic Geometry of the Conic Sections (10)
    • 10.6: Parametric and Cartesian Equations for Rotated Conics (12)
    • 10.7: Applications of Conic Sections (8)
    • 10.8: Chapter Review and Test (37)

  • Chapter 11: Polar Coordinates, Complex Numbers, and Moving Objects
    • 11.1: Introduction to Polar Coordinates (7)
    • 11.2: Polar Equations for Conics and Other Curves (21)
    • 11.3: Intersections of Polar Curves (5)
    • 11.4: Complex Numbers in Polar Form (15)
    • 11.5: Parametric Equations for Moving Objects (6)
    • 11.6: Chapter Review and Test (26)

  • Chapter 12: Three-Dimensional Vectors
    • 12.1: Review of Two-Dimensional Vectors (7)
    • 12.2: Two-Dimensional Vector Practice (9)
    • 12.3: Vectors in Space (11)
    • 12.4: Scalar Products and Projections of Vectors (17)
    • 12.5: Planes in Space (9)
    • 12.6: Vector Product of Two Vectors (14)
    • 12.7: Direction Angles and Direction Cosines (12)
    • 12.8: Vector Equations for Lines in Space (8)
    • 12.9: Chapter Review and Test (44)

  • Chapter 13: Matrix Transformations and Fractal Figures
    • 13.1: Introduction to Iterated Transformations (5)
    • 13.2: Matrix Operations and Solutions of Linear Systems (11)
    • 13.3: Rotation and Dilation Matrices (9)
    • 13.4: Translation with Rotation and Dilation Matrices (4)
    • 13.5: Strange Attractors for Several Iterated Transformations (5)
    • 13.6: Fractal Dimensions (5)
    • 13.7: Chapter Review and Test (26)
    • 13.8: Cumulative Review, Chapters 10–13

  • Chapter 14: Probability, and Functions of a Random Variable
    • 14.1: Introduction to Probability (13)
    • 14.2: Words Associated with Probability (2)
    • 14.3: Two Counting Principles (9)
    • 14.4: Probabilities of Various Permutations (10)
    • 14.5: Probabilities of Various Combinations (30)
    • 14.6: Properties of Probability (7)
    • 14.7: Functions of a Random Variable (12)
    • 14.8: Mathematical Expectation (7)
    • 14.9: Chapter Review and Test (43)

  • Chapter 15: Sequences and Series
    • 15.1: Introduction to Sequences and Series (9)
    • 15.2: Arithmetic, Geometric, and Other Sequences (10)
    • 15.3: Series and Partial Sums (28)
    • 15.4: Chapter Review and Test (35)

  • Chapter 16: Introduction to Limits, Derivatives, and Integrals
    • 16.1: Exploring Limits, Derivatives, and Integrals (7)
    • 16.2: Limits (14)
    • 16.3: Rate of Change of a Function (14)
    • 16.4: Accumulated Rates: The Definite Integral (5)
    • 16.5: Chapter Review and Test (23)
    • 16.6: Cumulative Review, Chapters 14–16


Precalculus with Trigonometry Concepts and Applications, 3rd edition, by Paul A. Foerster is designed to engage high school students of all abilities and prepare them for success in a calculus course. The WebAssign component for this text provides online versions of the exercises author Paul Foerster developed from his 50 years of classroom experience. Questions link directly to the eBook and supplemental material such as the Instructor Resource Book, the Instructor Solution Manual, the Teacher Edition, technology projects, word file test banks, and exploration worksheets are included.

Questions Available within WebAssign

Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

Question Group Key
C - Concept Problems
R - Review Problems
T - Chapter Test Problems


Question Availability Color Key
BLACK questions are available now
GRAY questions are under development


Group Quantity Questions
Chapter 1: Functions and Mathematical Models
1.1 5 001 002 003 004 005
1.2 21 001 003 005 007 009 011 013 015 019 021 023 025 027 029 031 033 035 037 039 040 041
1.3 20 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020
1.4 10 001 002 005 007 009 010 012 013 014 015
1.5 17 001 003 005 007 009 011 013 015 016 017 019 021 025 031 035 037 038
1.6 11 001 002 003 004 005 007 009 010 011 012 013
1.8 47 C.001 C.002 R.001a-d R.001e R.002a-g R.002h R.002i R.002j R.003 R.004a-e R.004f R.004g-j R.005a-c R.005d R.005e R.005f R.005g R.006a-b R.006c R.006d T.001 T.002 T.003 T.004 T.005 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023 T.024 T.025 T.026 T.027 T.028
Chapter 2: Properties of Elementary Functions
2.1 4 001 002 003 004
2.2 13 001 003 005 007 009 011 013 015 017 019 021 023 025
2.3 20 001 003 005 007 009 011 013 015 017 019 021 023 025 026 027 029 030 031 032 035
2.4 24 001 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037 039 041 043 045 047
2.5 26 001 002 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037 039 041 043 045 047 049
2.6 7 001 003 005 007 009 011 013
2.7 4 001 003 005 007
2.8 50 R.001 R.002a R.002b R.002c R.002d R.002e R.003a-d R.003e R.003f R.004a R.004b R.004c R.004d R.004e R.005a R.005b R.005c R.005d-e R.006a R.006b R.006c-e R.007a-d R.007e T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023 T.024 T.025 T.026 T.027
Chapter 3: Fitting Functions to Data
3.1 6 001 002 003 004 005 006
3.2 5 001 002 003 004 005
3.3 6 001 002 003 004 005 006
3.4 15 001 003 005 007 009 011 013 015 017 019 020 021 022 023 024
3.5 10 001 002 003 004 005 006 007 008 009 010
3.6 28 R.001 R.002a-f R.002g R.003 R.004a R.004b R.004c R.004d R.005 T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019
Chapter 4: Polynomial and Rational Functions
4.1 7 001 002 003 004 005 006 007
4.2 26 001 005 007 009 013 015 017 019 023 025 028 033 035 037 041 043 047 053 055 056 057 061 063 065b 065d 066
4.3 18 005 006 007 008 009 011 013 015 017 019 021 025 029 030 035 036 037 038
4.4 9 001 003 004 005 007 008 009 013 015
4.5 19 001 002 003 004 005 007 009 013 015 017 019 021 023 025 027 029 031 035 036
4.6 9 007 009 013 016 021 025 029 031 041
4.7 14 001 002 003 005 007 009 011 015 017 019 021 023 025 027
4.8 43 R.001 R.002a-b R.002c-d R.002e-g R.002h-i R.002j-k R.002l R.003a R.003b R.003c R.003d R.004a R.004b R.005a-b R.005c R.005d R.005e R.006a-b R.006c-d R.006e R.007a R.007b R.007c R.007d R.007e T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018
Chapter 5: Periodic Functions and Right Triangle Problems
5.1 4 001 002 003 004
5.2 9 001 005 009 019 021 025 027 029 030
5.3 12 001 003 005 007 009 011 013 015 017 019 021 023
5.4 28 001 004 006 007 009 011 012 013 014 015 016 017 018 019 021 023 025 027 029 031 035 039 040 041 042 043 044 045
5.5 14 001 002 003 004 005 007 008 009 010 011 013 014 021 024
5.6 32 C.001 C.003 R.001 R.002 R.003a R.003b R.003c-e R.004a-f R.004g R.005a R.005b T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021
Chapter 6: Applications of Trigonometric and Circular Functions
6.1 9 001 002 003 004 005 006 007 008 009
6.2 17 001 002 003 004 005 007 009 011 013 015 017 019 021 023 025 026 027
6.3 11 001 002 003 005 006 009 011 012 013 014 015
6.4 19 001 002 003 009 011 017 021 025 029 031 037 039 041 043 045 047 049 051 053
6.5 20 001 002 003 006 007 010 011 014 015 019 023 025 027 031 037 039 044 045 046 048
6.6 7 001 003 005 007 009 011 013
6.7 7 001 002 004 005 008 011 014
6.8 12 001 003 005 007 009 010 011 013 014 015 016 017
6.9 45 C.001 C.002 R.001a R.001b R.002a R.002b R.002c-e R.003a-b R.003c R.003d-e R.003f R.004a-b R.004c-e R.005a-b R.005c-e R.005f-g R.005h R.006a-c R.006d-e R.007 R.008a-c R.008d-j T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023
Chapter 7: Trigonometric Function Properties and Identities, and Parametric Functions
7.1 6 001 002 003 004 005 006
7.2 14 001 002 003 004 005 006 007 008 009 010 011 012 013 014
7.3 54 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054
7.4 22 001 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037 039 041 043
7.5 15 001 002 003 005 007 009 011 013 015 016 017 018 019 021 022
7.6 16 001 002 003 004 005 007 009 011 013 015 017 019 021 023 024 025
7.7 37 C.001 R.001 R.002a-c R.002d R.002e R.002f R.003a-c R.003d-e R.003f-g R.004a R.004b-c R.005a-c R.005d R.006a-c R.006d R.006e R.006f R.006g-h T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019
Chapter 8: Properties of Combined Sinusoids
8.1 8 001 002 003 004 005 006 007 008
8.2 19 001 003 005 007 009 011 013 015 016 017 019 021 023 025 027 028 029 030 032
8.3 21 001 003 005 007 009 010 011 013 014 015 017 019 021 023 025 027 029 031 033 036 040
8.4 9 001 002 003 005 007 009 011 012 013
8.5 15 001 003 005 007 009 011 013 015 017 019 021 023 025 029 035
8.6 23 001 002 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037 039 041 043
8.7 37 R.001 R.002a-b R.002c-d R.002e R.003a-g R.003h R.003i R.004a-d R.004e-f R.005a-b R.005c R.005d R.005e R.006a R.006b R.006c-d R.006e R.006f R.006g T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018
Chapter 9: Triangle Trigonometry
9.1 3 003 004 005
9.2 11 001 003 006 007 009 011 013 014 015 017 018
9.3 8 001 003 007 008 009 011 013 014
9.4 8 001 003 005 007 009 010 011 014
9.5 8 001 003 005 007 009 011 013 014
9.6 13 001 003 005 007 009 013 014 015 017 019 021 022 024
9.7 10 001 003 005 007 009 011 013 015 017 018
9.8 36 R.001 R.002a-b R.002c R.002d R.003a-b R.003c R.003d R.004a-c R.004d R.005 R.006a-b R.006c-d R.006e R.007a-f R.007g-i T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021
Chapter 10: Conic Sections and Quadric Surfaces
10.1 8 001 002 003 004 005 006 007 008
10.2 21 001 002 003 004 005 007 008 012 013 015 017 019 021 023 027 030 031 033 035 036 037
10.3 10 001 003 005 007 009 011 013 015 017 019
10.4 14 001 002 003 004 005 006 007 008 009 010 013 015 017 019
10.5 10 001 002 003 004 011 015 019 023 027 031
10.6 12 001 003 005 007 009 011 013 015 017 019 021 023
10.7 8 001 002 003 004 005 006 007 008
10.8 37 R.001 R.002a R.002b R.002c R.002d R.003a R.003b R.003c R.003d R.003e R.004a R.004b R.005a-b R.005c R.005d R.005e R.005f R.006a-c R.006d-e T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019
Chapter 11: Polar Coordinates, Complex Numbers, and Moving Objects
11.1 7 001 002 003 004 005 006 007
11.2 21 001 002 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023
11.3 5 001 003 005 007 009
11.4 15 001 005 009 011 013 017 019 023 025 027 029 031 033 035 037
11.5 6 001 002 003 004 007 009
11.6 26 R.001 R.002a-b R.002c-f R.003 R.004a-b R.004c-d R.004e-g R.004h-i R.005a R.005b T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016
Chapter 12: Three-Dimensional Vectors
12.1 7 001 002 003 004 005 006 007
12.2 9 001 003 005 007 009 011 013 015 016
12.3 11 001 003 005 007 009 011 013 015 017 018 019
12.4 17 001 003 005 007 009 011 013 015 017 019 020 023 024 025 027 029 030
12.5 9 001 003 005 007 009 011 012 013 015
12.6 14 001 003 005 009 011 013 014 015 016 017 018 019 021 023
12.7 12 001 003 005 007 009 011 013 015 017 019 021 023
12.8 8 001 003 005 007 009 011 013 015
12.9 44 R.001 R.002 R.003a R.003b-f R.004a-c R.004d-h R.005a R.005b R.005c-d R.006a-b R.006c-e R.006f R.007a R.007b R.007c R.007d R.008a-d R.008e T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023 T.024 T.025 T.026
Chapter 13: Matrix Transformations and Fractal Figures
13.1 5 001 002 003 004 005
13.2 11 001 003 005 007 009 011 013 015 017 019 021
13.3 9 001 003 005 007 009 011 013 015 017
13.4 4 001 002 003 004
13.5 5 001 005 009 010 011
13.6 5 001 002 003 004 005
13.7 26 R.001 R.002a-b R.002c R.002d R.003 R.004 R.005 R.006 T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018
Chapter 14: Probability, and Functions of a Random Variable
14.1 13 001 002 003 004 005 006 007 008 009 010 011 012 013
14.2 2 001 002
14.3 9 001 003 005 007 009 011 013 015 016
14.4 10 001 003 005 007 009 011 013 015 017 019
14.5 30 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030
14.6 7 001 003 005 007 009 011 013
14.7 12 001 002 003 004 005 006 007 008 009 010 011 012
14.8 7 001 002 004 005 006 007 008
14.9 43 R.001 R.002 R.003a R.003b R.004a R.004b R.004c R.004d R.005a-b R.005c R.005d R.006a R.006b R.007 R.008a-d R.008e-f T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023 T.024 T.025 T.026 T.027
Chapter 15: Sequences and Series
15.1 9 001 002 003 004 005 006 007 008 009
15.2 10 001 002 003 004 005 006 016 017 023 024
15.3 28 001 002 003 004 005 009 011 012 013 015 017 019 021 023 025 027 029 031 033 035 037 039 041 043 045 047 049 051
15.4 35 R.001a-c R.001d-e R.002a R.002b-c R.002d-e R.002f-g R.002h R.003a-d R.003e-h R.003i R.003j R.003k T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016 T.017 T.018 T.019 T.020 T.021 T.022 T.023
Chapter 16: Introduction to Limits, Derivatives, and Integrals
16.1 7 001 002 003 004 005 006 007
16.2 14 001 002 003 004 005 006 007 008 009 011 013 015 017 018
16.3 14 001 002 003 004 005 007 009 010 011 013 015 016 017 018
16.4 5 001 002 003 004 005
16.5 23 R.001 R.002a R.002b R.002c R.002d R.003 R.004 T.001 T.002 T.003 T.004 T.005 T.006 T.007 T.008 T.009 T.010 T.011 T.012 T.013 T.014 T.015 T.016
Total 1807