A New Theorem Relating the Tangent Secant Theorem to the Golden Ratio

Abstract

The golden ratio is usually shrouded in mystique and mystery, however, showing its emergence from a familiar geometric setting makes it a more natural phenomenon. In this work, we present a new theorem connecting the Tangent Secant theorem to the golden ratio. Such a connection enhances the learning process of the theorem, and it demystifies the golden ratio in physics and other disciplines.