An Infinite Tangent Product

Explore the derivation of an infinite tangent product through a 23-minute mathematical journey. Delve into the use of identities to create a telescoping product, ultimately determining the value of an infinite product involving the fourth power of the tangent function. Examine key concepts such as the double angle formula, second and third identities, and the principles of infinite and telescoping products. Enhance your understanding of advanced mathematical techniques and their applications in solving complex problems.

Double angle formula
Second identity
Third identity
Infinite product
telescoping product