Spread (rational trigonometry)

Spread is a math concept that helps us understand angles. Imagine you have two lines that cross each other, like the letter "X". The spread between those lines is the angle that the lines make when they cross.

Now, let's talk about rational trigonometry. This is a way to do math that doesn't use the traditional sine and cosine functions. Instead, it uses something called the spread function to measure angles. The spread function gives a number between 0 and 1 that represents the size of an angle.

To understand this, let's say you have two lines that cross each other at a right angle, like a corner of a room. The spread of this angle is 1/2, because it takes half of a full turn (which is 360 degrees) to make a right angle.

But what if the lines cross at a different angle, like the angle of a triangle? The spread will be different depending on the size of the angle. A smaller angle will have a smaller spread, while a bigger angle will have a bigger spread.

So, spread is a way to measure angles using a number between 0 and 1. It's used in rational trigonometry to help us do math without the traditional sine and cosine functions.