It is assumed that (x) is always ≥ 1 and the (1/x) is always ≤ 1.

## The ‘cosmic’ equation

Linking the ‘cosmic’ equation with **Pythagoras**.

Linking the ‘cosmic’ equation with **trigonometry** and the trigonometric functions.

Simplifying the tan relationship.

more stuff

more stuff

## The Triangles

The relationship between the red and blue triangles.

More stuff.

Example A

Visualising the triangles using the ‘cosmic’ equation.

Substituting x₁ (from above) into the green triangle.

Scale by x₁ and substitute cos. Using circles to perform square-roots (more information).

Example B

More stuff.

And then..