The full version of this precalculus video tutorial focuses on graphing polar equations. It explains how to graph circles, limacons, cardiods, rose curves, and lemniscates. It provides plenty of examples and practice problems.

Full 1 Hour Video:
https://www.youtube.com/watch?v=IL2mM4CppGg

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Here is a list of topics:

1. Graphing Circles Using Polar Functions
2. Sine vs Cosine - Positive vs Negative Direction
3. Finding the Diameter and Radius of Circle From The Equations R = cos theta and R = a sin theta.
4. Graphing Limacons - Polar Functions
5. R = a + b sin theta and R = a - b cos theta
6. Limacon with inner loop, Cardiods, and Dimpled Licamons
7. Using x and y intercepts to graph limacons
8. Graphing Rose Curves Using Sine and Cosine
9. Even vs Odd Number of Petals -
10. Angle in degrees of Rose Petals
11. Graphing Lemniscates - Symmetry about the origin, the polar, the polar axis, and the line theta = pi/2 or 90 degrees.

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