Module One

HYPERBOLIC FUNCTIONS

Introduction

This module should be read in conjunction with the Programme of Study.

The Programme of Study lists the topics that are in the module and gives you the relevant page references for your textbook. This module aims to give you more direction as you work through the various topics. It will aim to highlight the most important items in the topic, as well as areas that need particular care. It will also point you towards the resources you should be using.

Remember to double-check the syllabus to make sure you cover all the items that you need to.

Module Overview

This module extends prior knowledge of trigonometric functions. Hyperbolic functions are additional trigonometric functions which describe physical situations. The hyperbolic cosine function (known as “cosh”) describes the shape made by a chain suspended at two points, known as a catenary. The functions describe a hyperbola which is one of the conic sections made when cutting a cone at an extreme angle.

Topics

Topic One (1.1): Exponential Forms of Hyperbolic Functions

Topic Two (1.2): Hyperbolic Identities

Topic Three (1.3): Inverse Hyperbolic Functions

Topic Four (1.4): Logarithmic Form for Inverse Hyperbolic Functions