Welcome to Episode 1 of Season 3: Unlocking Advanced Topics! This episode introduces basic trigonometry concepts, specifically sine, cosine, and tangent, explaining them as ratios in right triangles. It emphasizes the usefulness of trigonometry in geometry problems, particularly for tests like the AMC 10 and AMC 12, recommending memorization of certain angle values. The audio then demonstrates the application of these principles through solved example problems from past AMC contests, illustrating how to use trigonometry to find unknown values in triangles given certain conditions.