ELI5: Explain Like I'm 5

Rational trigonometry

Hello!

Let me explain what rational trigonometry means just like you're five years old.

Remember the time when you learned the basics of trigonometry, like what sine, cosine, and tangent mean? It's all about angles and triangles. Sometimes, you use a calculator to find the values of these functions for a particular angle.

But do you know that there's another way to do this? Instead of using decimals or fractions, why not use numbers that are whole, and not decimals? That's what rational trigonometry is all about.

The idea of rational trigonometry is to use numbers like 1, 2, 3, and so on as much as possible. It simplifies calculations and makes it much easier to understand the relationships between angles and triangles.

For example, in the traditional trigonometry, you might have to use decimal numbers like 0.5, 0.707, or 1.732 to calculate the values of sine, cosine, or tangent. But in rational trigonometry, you can use whole numbers like 1, 2, or 3 to find the values of these functions.

Rational trigonometry also introduces new concepts like quadrance and spreads to describe the relationships between angles and triangles. These concepts simplify calculations and help us understand geometric relationships more easily.

So to sum it up, rational trigonometry is a simpler and more intuitive way of understanding the relationships between triangles and angles, using whole numbers as much as possible.
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