### Trigonometry: Triangles to Functions

Many ways problem

# Slices of $\pi$ Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Problem

Take a look at the diagram below.

We’ve used inequalities involving $\sin \theta$, $\cos \theta$ and $\tan \theta$ to divide the semicircle into sectors.

Each sector in the diagram is defined by a different inequality.

For example, one sector is defined by the angles $\theta$ between $0$ and $\pi$ for which $\cos \theta < \sin \theta < \tan \theta.$

Another sector is defined by $\cos \theta< \tan \theta < \sin \theta.$