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Polar Coordinates and Complex Numbers

Polar coordinates and complex numbers covers the polar/rectangular relationship and the representation of basic graphs. Also introduces the complex plane and applications.

  • Introduction to Polar Coordinates

  • Converting from Rectangular Coordinates to Polar

  • Converting from Polar Coordinates to Rectangular

  • The Distance Formula in Polar Coordinates

  • Lines in Polar Coordinates

  • Symmetry of Polar Graphs

  • Graphing Polar Equations

  • Families of Polar Curves: Circles, Cardiods, and Limaçon

  • Families of Polar Curves: Roses

  • Families of Polar Curves: Conic Sections

  • The Complex Plane

  • Trigonometric Form of Complex Numbers

  • Converting Complex Numbers From Trigonometric Form to Rectangular

  • Converting Complex Numbers From Rectangular Form to Trigonometric

  • Multiplying Complex Numbers

  • Dividing Complex Numbers

  • DeMoivre's Theorem

  • The Euler Formula

  • Finding the Roots of a Complex Number

  • More Roots of Complex Numbers

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