Polynomial Expression of Trigonometric Functions: Geometric Differential Cyclical Structure in the k-Altitude System

Key Points

• The aim is to explore the polynomial representation of trigonometric functions and their geometric implications.
• Analyzed trigonometric functions through polynomial expressions
• Examined geometric differential structures in the k-altitude system
• Identified the cyclical nature of these structures
• Demonstrated a new geometric interpretation of trigonometric functions
• Showed that polynomial expressions can represent cyclical structures
• Found potential applications in mathematical modeling