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Precalculus Study Notes: Algebra, Functions, Trigonometry, and Conic Sections

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Algebraic Expressions

Linear Equations

Linear Inequalities

Graphs and Coordinates

Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Inverse Sine, Cosine, & Tangent

Angles in Standard Position

Radians

Trigonometric Functions on Right Triangles

Special Right Triangles

Defining the Unit Circle

Trigonometric Functions on the Unit Circle

Common Values of Sine, Cosine, & Tangent

Reference Angles

Graphs of the Sine and Cosine Functions

Sum and Difference Identities

Double Angle Identities

Solving Trigonometric Equations Using Identities

Linear Trigonometric Equations

Polar Coordinate System

Convert Points Between Polar and Rectangular Coordinates

Convert Equations Between Polar and Rectangular Forms

Graphing Other Common Polar Equations

Introduction to Limits

Sequences

Introduction to Limits

Introduction to Conic Sections

Circles

Ellipses: Standard Form

Parabolas

Hyperbolas at the Origin