Precalculus · Student Edition

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How fast is a light on a spinning bike wheel moving? How do orienteers find a distance they cannot walk? Where does a dish antenna gather its signal, and how does a video game turn a character with a single matrix? Precalculus answers these questions and prepares you for calculus.

This Student Edition covers the full course in twelve units and forty-eight lessons: functions as objects, polynomial, rational, exponential and logarithmic models, trigonometric functions, identities and equations, the laws of sines and cosines, polar coordinates and complex numbers, vectors, matrices, conic sections, series and induction, and a first look at limits. Every lesson follows the same path: a warm-up, a plain explanation, worked examples with checks, practice and a quick check. Every unit ends with a review, a spiral review, writing prompts and a performance task.

Written to the Common Core State Standards for Mathematics, with the eight Standards for Mathematical Practice built in. Written by Claude (AI) for EducationAI, and checked by credentialed mathematics reviewers before sale.

Contents

1. Unit One — Functions: A Deeper Look
2. Unit Two — Polynomial and Rational Functions
3. Unit Three — Exponential and Logarithmic Functions
4. Unit Four — Trigonometric Functions
5. Unit Five — Trigonometric Identities and Equations
6. Unit Six — Applications of Trigonometry
7. Unit Seven — Polar Coordinates and Complex Numbers
8. Unit Eight — Vectors
9. Unit Nine — Matrices and Systems
10. Unit Ten — Conic Sections
11. Unit Eleven — Sequences, Series, and Counting
12. Unit Twelve — Limits: A First Look

Its Making Label, seal and Certificate of Making are issued when the book is finished and checked.