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This lecture focuses on fundamental special functions, such as trigonometric, logarithmic, and exponential functions, exploring their properties and applications. Starting with the definition of an angle, the instructor explains oriented angles, rotations in the plane, and the ambiguity in angle choice. The lecture also covers angles between vectors, emphasizing the importance of understanding angles as planar concepts. By the end, students will have a solid grasp of angles as planar entities and their significance in various mathematical applications.