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College Algebra & Trigonometry Syllabus Study Guide

Study Guide - Learn with Videos

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Algebraic Expressions

Exponents

Radical Expressions

Simplifying Radical Expressions

Rational Exponents

Polynomials Intro

Multiplying Polynomials

Factoring Polynomials

Graphs and Coordinates

Two-Variable Equations

Linear Equations

Rational Equations

Complex Numbers

Intro to Quadratic Equations

The Square Root Property

Completing the Square

The Quadratic Formula

Choosing a Method to Solve Quadratics

Linear Inequalities

Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Circles

Quadratic Functions

Understanding Polynomial Functions

Graphing Polynomial Functions

Introduction to Rational Functions

Graphing Rational Functions

Introduction to Exponential Functions

Graphing Exponential Functions

The Number e

Introduction to Logarithms

Graphing Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Angles in Standard Position

Radians

Trigonometric Functions on Right Triangles

Special Right Triangles

Coterminal Angles

Complementary and Supplementary Angles

Defining the Unit Circle

Trigonometric Functions on the Unit Circle

Common Values of Sine, Cosine, & Tangent

Reciprocal Trigonometric Functions on the Unit Circle

Graphs of the Sine and Cosine Functions

Phase Shifts

Graphs of Secant and Cosecant Functions

Graphs of Tangent and Cotangent Functions

Inverse Sine, Cosine, & Tangent

Introduction to Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Linear Trigonometric Equations

Solving Trigonometric Equations Using Identities

Law of Sines

Law of Cosines

Two Variable Systems of Linear Equations

Graphing Systems of Inequalities