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CONTEMPORARY TRIGONOMETRY completes Thomas Hungerford's renowned series of precalculus texts. His texts are well respected for their thorough integration of the graphing calculator, clear writing, and outstanding applications problems. Many adopters praise his use of real data in examples and exercises, and they appreciate the flexibility of his books' organization. This new text is accompanied by an outstanding array of innovative supplements that facilitate teaching and enhance learning, such as iLrn--a robust suite of online course management, testing, and tutorial resources for instructor and student, with vMentor live online tutoring. The text also includes the free Interactive Video Skillbuilder CD-ROM with MathCue, and a Book Companion Web Site featuring online graphing calculator resources.
0. PRELIMINARIES.
The real number system and equations. The coordinate plane. Graphs, technology, and equation solving. Functions. Graphs of functions. Graphs and transformations Chapter 0 Review. Discovery Project 0.
1. TRIANGLE TRIGONOMETRY.
Trigonometric functions of acute angles. Trigonometric functions of angles. Applications of right triangle trigonometry. Law of Cosines. Law of Sines Chapter 1 Review. Discovery Project 1.
2. TRIGONOMETRIC FUNCTIONS.
Angles and radian measure. Special Topics: Arc length and angular speed. The sine, cosine, and tangent functions. The sine, cosine, and tangent functions. Algebra and identities. Basic graphs. Periodic graphs and simple harmonic motion. Special Topics: Other trigonometric graphs. Other trigonometric functions. Chapter 2 Review. Discovery Project 2.
3. TRIGONOMETRIC IDENTITIES AND EQUATIONS.
Basic identities and proofs. Addition and subtraction identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Special Topics: Other solution methods for trigonometric equations. Chapter 3 Review. Discovery Project 3.
4. APPLICATIONS OF TRIGONOMETRY.
Complex numbers. The complex plane and polar form for complex numbers. DeMoivre's Theorem and the nth roots of complex numbers. Vectors in the plane. The dot product. Chapter 4 Review. Discovery Project 4.
5. ANALYTIC GEOMETRY AND TRIGONOMETRY.
Circles and ellipses. Hyperbolas. Parabolas. Rotations and second-degree equations. Special Topics: Rotation of axes. Plane curves and parametric equations. Polar coordinates. Polar equations of conics. Chapter 5 Review. Discovery Project 5.
6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential functions. Applications of exponential functions. Common and natural logarithmic functions. Properties of logarithms. Special Topics: Logarithms to other bases. Solving exponential and logarithmic equations algebraically. Chapter 6 Review. Discovery Project 6.
Appendix.
Geometry Review.
CONTEMPORARY TRIGONOMETRY completes Thomas Hungerford's renowned series of precalculus texts. His texts are well respected for their thorough integration of the graphing calculator, clear writing, and outstanding applications problems. Many adopters praise his use of real data in examples and exercises, and they appreciate the flexibility of his books' organization. This new text is accompanied by an outstanding array of innovative supplements that facilitate teaching and enhance learning, such as iLrn--a robust suite of online course management, testing, and tutorial resources for instructor and student, with vMentor live online tutoring. The text also includes the free Interactive Video Skillbuilder CD-ROM with MathCue, and a Book Companion Web Site featuring online graphing calculator resources.
Table of Contents
0. PRELIMINARIES.
The real number system and equations. The coordinate plane. Graphs, technology, and equation solving. Functions. Graphs of functions. Graphs and transformations Chapter 0 Review. Discovery Project 0.
1. TRIANGLE TRIGONOMETRY.
Trigonometric functions of acute angles. Trigonometric functions of angles. Applications of right triangle trigonometry. Law of Cosines. Law of Sines Chapter 1 Review. Discovery Project 1.
2. TRIGONOMETRIC FUNCTIONS.
Angles and radian measure. Special Topics: Arc length and angular speed. The sine, cosine, and tangent functions. The sine, cosine, and tangent functions. Algebra and identities. Basic graphs. Periodic graphs and simple harmonic motion. Special Topics: Other trigonometric graphs. Other trigonometric functions. Chapter 2 Review. Discovery Project 2.
3. TRIGONOMETRIC IDENTITIES AND EQUATIONS.
Basic identities and proofs. Addition and subtraction identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Special Topics: Other solution methods for trigonometric equations. Chapter 3 Review. Discovery Project 3.
4. APPLICATIONS OF TRIGONOMETRY.
Complex numbers. The complex plane and polar form for complex numbers. DeMoivre's Theorem and the nth roots of complex numbers. Vectors in the plane. The dot product. Chapter 4 Review. Discovery Project 4.
5. ANALYTIC GEOMETRY AND TRIGONOMETRY.
Circles and ellipses. Hyperbolas. Parabolas. Rotations and second-degree equations. Special Topics: Rotation of axes. Plane curves and parametric equations. Polar coordinates. Polar equations of conics. Chapter 5 Review. Discovery Project 5.
6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential functions. Applications of exponential functions. Common and natural logarithmic functions. Properties of logarithms. Special Topics: Logarithms to other bases. Solving exponential and logarithmic equations algebraically. Chapter 6 Review. Discovery Project 6.
Appendix.
Geometry Review.