Precalculus: A Right Triangle Approach, 5th edition
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Overview
Precalculus: A Right Triangle Approach helps you "see the math" through a focus on visualization and early introduction to functions. The author team covers review topics to give you a solid foundation for approaching the new material.
Published by Pearson (August 1st 2021)  Copyright © 2016
ISBN13: 9780137617289
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
Table of Contents
 Graphs, Functions, and Models
 1.1 Introduction to Graphing
 1.2 Functions and Graphs
 1.3 Linear Functions, Slope, and Applications
 1.4 Equations of Lines and Modeling
 1.5 Linear Equations, Functions, Zeros, and Applications
 1.6 Solving Linear Inequalities
 More on Functions
 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
 2.2 The Algebra of Functions
 2.3 The Composition of Functions
 2.4 Symmetry
 2.5 Transformations
 2.6 Variation and Applications
 Quadratic Functions and Equations; Inequalities
 3.1 The Complex Numbers
 3.2 Quadratic Equations, Functions, Zeros, and Models
 3.3 Analyzing Graphs of Quadratic Functions
 3.4 Solving Rational Equations and Radical Equations
 3.5 Solving Equations and Inequalities with Absolute Value
 Polynomial Functions and Rational Functions
 4.1 Polynomial Functions and Models
 4.2 Graphing Polynomial Functions
 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
 4.4 Theorems about Zeros of Polynomial Functions
 4.5 Rational Functions
 4.6 Polynomial Inequalities and Rational Inequalities
 Exponential Functions and Logarithmic Functions
 5.1 Inverse Functions
 5.2 Exponential Functions and Graphs
 5.3 Logarithmic Functions and Graphs
 5.4 Properties of Logarithmic Functions
 5.5 Solving Exponential Equations and Logarithmic Equations
 5.6 Applications and Models: Growth and Decay; Compound Interest
 The Trigonometric Functions
 6.1 Trigonometric Functions of Acute Angles
 6.2 Applications of Right Triangles
 6.3 Trigonometric Functions of Any Angle
 6.4 Radians, Arc Length, and Angular Speed
 6.5 Circular Functions: Graphs and Properties
 6.6 Graphs of Transformed Sine and Cosine Functions
 Trigonometric Identities, Inverse Functions, and Equations
 7.1 Identities: Pythagorean and Sum and Difference
 7.2 Identities: Cofunction, DoubleAngle, and HalfAngle
 7.3 Proving Trigonometric Identities
 7.4 Inverses of the Trigonometric Functions
 7.5 Solving Trigonometric Equations
 Applications of Trigonometry
 8.1 The Law of Sines
 8.2 The Law of Cosines
 8.3 Complex Numbers: Trigonometric Notation
 8.4 Polar Coordinates and Graphs
 8.5 Vectors and Applications
 8.6 Vector Operations
 Systems of Equations and Matrices
 9.1 Systems of Equations in Two Variables
 9.2 Systems of Equations in Three Variables
 9.3 Matrices and Systems of Equations
 9.4 Matrix Operations
 9.5 Inverses of Matrices
 9.6 Determinants and Cramer’s Rule
 9.7 Systems of Inequalities and Linear Programming
 9.8 Partial Fractions
 Conic Sections
 10.1 The Parabola
 10.2 The Circle and the Ellipse
 10.3 The Hyperbola
 10.4 Nonlinear Systems of Equations and Inequalities
 10.5 Rotation of Axes
 10.6 Polar Equations of Conics
 10.7 Parametric Equations
 Sequences, Series, and Combinatorics
 11.1 Sequences and Series
 11.2 Arithmetic Sequences and Series
 11.3 Geometric Sequences and Series
 11.4 Mathematical Induction
 11.5 Combinatorics: Permutations
 11.6 Combinatorics: Combinations
 11.7 The Binomial Theorem
 11.8 Probability
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