A Study on the Infinite Product Expansion of Trigonometric Identities via Recursive Sum-to-Product Factorization of (m,n)-th Order Roots

Key Points

• The research aims to analyze the infinite product expansion of trigonometric identities using recursive techniques.
• Utilized recursive sum-to-product factorization
• Examined properties of (m,n)-th order roots
• Analyzed trigonometric identities
• Demonstrated new forms of infinite product expansions
• Provided relationships between trigonometric functions
• Revealed efficient factorization methods for roots