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Precalculus Study Guide: Functions, Trigonometry, and Analytic Geometry

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Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Lines

Linear Equations

Intro to Quadratic Equations

Quadratic Functions

Understanding Polynomial Functions

Graphing Polynomial Functions

Introduction to Rational Functions

Asymptotes

Graphing Rational Functions

Introduction to Exponential Functions

Graphing Exponential Functions

Introduction to Logarithms

Graphing Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Angles in Standard Position

Coterminal Angles

Complementary and Supplementary Angles

Radians

Trigonometric Functions on Right Triangles

Special Right Triangles

Cofunctions of Complementary Angles

Solving Right Triangles

Defining the Unit Circle

Trigonometric Functions on the Unit Circle

Common Values of Sine, Cosine, & Tangent

Reference Angles

Reciprocal Trigonometric Functions on the Unit Circle

Graphs of the Sine and Cosine Functions

Graphs of Tangent and Cotangent Functions

Graphs of Secant and Cosecant Functions

Phase Shifts

Introduction to Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Law of Sines

Law of Cosines

Area of SAS & ASA Triangles

Two-Variable Equations