Topic One (1.1): Exponential Forms of Hyperbolic Functions
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) Links to an external site.
WATCH - Exponential and Log Equations (Exam Solutions) Links to an external site.
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) Links to an external site.
WATCH - Graphs of sinh (x), cosh (x) and tanh (x) (Exam Solutions) Links to an external site.
WATCH - Graphs of cosech (x), sech (x) and coth (x)(Exam Solutions) Links to an external site.