Tau

Trigonometry

The traditional use of Pi in mathematics has been questioned for its complexity, particularly in trigonometry. Gary Arndt explains that the original definition of Pi was twice its current value, based on the circle's radius rather than its diameter 1. This historical shift has led to confusion, especially when dealing with radians and trigonometric functions. Arndt points out that two Pi frequently appears in various mathematical and physical contexts, suggesting that using Tau, which equals two Pi, could simplify these concepts:

Saying that a full circle is two PI is like saying a complete trip somewhere is twice half the distance. Technically correct, but confusing.

--- Gary Arndt

This perspective advocates for a more intuitive approach to understanding circles and angles, aligning with common sense and everyday language.

   

Intuition

Tau offers a more intuitive framework for understanding mathematical concepts, challenging the traditional reliance on Pi. Gary Arndt argues that the current teaching methods in mathematics are unnecessarily complicated, causing confusion among students 2. By redefining how we approach circles and angles, Tau simplifies these concepts, making them more accessible. This shift could alleviate the headaches caused by the conventional use of Pi, as Arndt suggests:

There's a good argument to be made that we've been doing it wrong. We've been teaching in a way that's been unnecessarily confusing and complicated.

--- Gary Arndt

Embracing Tau could lead to clearer, more straightforward explanations in mathematics, benefiting both educators and learners.