With the same design and feature sets as the market leading Precalculus, 8/e, this concise text provides both students and instructors with sound, consistently structured explanations of the mathematical concepts.

PRECALCULUS: A CONCISE COURSE is designed to offer a cost-effective, one-semester alternative to the traditional two-semester precalculus text. It contains the features that have made the Larson/Hostetler series a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples with worked-out solutions and exercises.

**1. FUNCTIONS AND THEIR GRAPHS.**

Rectangular Coordinates. Graphs of Equations.

Linear Equations in Two Variables.

Functions.

Analyzing Graphs of Functions.

A Library of Functions.

Transformations of Functions.

Combinations of Functions:

Composite Functions.

Inverse Functions.

Mathematical Modeling and Variation.

**2. POLYNOMIAL AND RATIONAL FUNCTIONS.**

Quadratic Functions and Models.

Polynomial Functions of Higher Degree.

Polynomial and Synthetic Division.

Complex Numbers.

Zeros of Polynomial Functions.

Rational Functions.

Nonlinear Inequalities.

**3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.**

Exponential Functions and Their Graphs.

Logarithmic Functions and Their Graphs.

Properties of Logarithms.

Exponential and Logarithmic Equations.

Exponential and Logarithmic Models.

**4. TRIGONOMETRY.**

Radian and Degree Measure.

Trigonometric Functions:

The Unit Circle.

Right Triangle Trigonometry.

Trigonometric Functions of Any Angle.

Graphs of Sine and Cosine Functions.

Graphs of Other Trigonometric Functions.

Inverse Trigonometric Functions.

Applications and Models.

**5. ANALYTIC TRIGONOMETRY.**

Using Fundamental Identities.

Verifying Trigonometric Identities.

Solving Trigonometric Equations.

Sum and Difference Formulas.

Multiple-Angle and Product-to-Sum Formulas.

Law of Sines.

Law of Cosines.

**6. TOPICS IN ANALYTIC GEOMETRY.**

Lines.

Introduction to Conics: Parabolas. Ellipses. Hyperbolas.

Parametric Equations.

Polar Coordinates.

Graphs of Polar Coordinates.

Polar Equations of Conics.

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