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Precalculus Course Syllabus and Study Guide: Trigonometry, Polar Coordinates, Complex Numbers, and Analytic Geometry

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Angles in Standard Position

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

Inverse Sine, Cosine, & Tangent

Solving Trigonometric Equations Using Identities

Sum and Difference Identities

Double Angle Identities

Law of Sines

Law of Cosines

Polar Coordinate System

Convert Equations Between Polar and Rectangular Forms

Graphing Complex Numbers

Polar Form of Complex Numbers

Products and Quotients of Complex Numbers

Powers of Complex Numbers (DeMoivre's Theorem)

Geometric Vectors

Introduction to Conic Sections

Parabolas

Ellipses: Standard Form

Hyperbolas at the Origin