Introduction

Hyperbolic functions can be described in both exponential and trigonometric forms. In this topic we look at the exponential forms of the functions and their graphs.

Reading

For this topic, you will need to work through pages 432 to 438 of your textbook.

Pre-requisite Knowledge

Read through page 432 as an introduction to this chapter and try the questions in the prerequisite knowledge section.

If necessary, refer back to the Chapters 2 and 3 from Pure Mathematics 2 & 3.

Additional resources on these topics can be found via the following links:

WATCH - Proving Identities Using the Addition Formulae (Exam Solutions)

WATCH - Exponential and Log Equations (Exam Solutions)

Tasks

Complete the following:

Read pages 432 to 438 and try exercise 19A.
Try to sketch the curves on Desmos and by hand.

Consolidate

For additional support, you may want to try the following links:

WATCH - Definitions (Exam Solutions)

WATCH - Graphs of sinh (x), cosh (x) and tanh (x) (Exam Solutions)

WATCH - Graphs of cosech (x), sech (x) and coth (x)(Exam Solutions)

WATCH - Solving Equations Using Inverse and Exponential Functions (Exam Solutions)