This lesson first starts with how to test for symmetry in a polar graph. Symmetry to the Polar Axis at 1:34 Symmetry to the line Theta=pi/2 at 8:13 Symmetry to the Pole at 10:38 Special Types of Graphs Circles at 13:13 Limacons at 16:16 I explain how to recognize the 4 subcategories of Limacons which are Inner Loop, Cartiod, Dimpled, and Convex. EXAMPLE of graphing a Limacon with an inner loop at 20:29 Rose Curve introduced at 34:10 EXAMPLE with even number of petals at 38:01 EXAMPLE with odd number of petals at 49:36 Lemniscates introduced at 54:03 LAST EXAMPLE at 55:14Graphing Calculator Example at 26:50My introductory video of Understanding Polar Coordinates www.youtube.com/watch?v=tKi05dfUhAA
In this series, the very helpful and fun math teacher Mr. Tarrou teaches students an entire course on trigonometry from start to finish, and on top of that, provides a comprehensive and easy to understand introduction to polar coordinates, vectors, and complex numbers. His videos are friendly, easy to understand, entertaining, and very well organized, all thanks to Mr. Tarrou great dedication to teaching and enthusiasm for mathematics.