Course: Calculus II
Topic: Transcendental Functions
Subtopic: Hyperbolic Trigonometric Functions


Trigonometric functions are defined on a triangle. Similarly hyperbolic trig functions are defined on a hyperbola. They can be expressed in terms of exponential functions thus they tie trigonometric functions, exponential functions, and conic sections together. Very cool stuff!


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: hyperbolic trig functions, `sinh(x), cosh(x), tanh(x), csch(x), sech(x), coth(x)`

Mini-Lectures and Examples

STUDY: Hyperbolic Trigonometric Functions

Supplemental Resources (required)

Download/Print: Prof. Keely's Hyperbolic Trigonometric Identities Sheet
and if needed for reference Prof. Keely's Trigonometric Identities Sheet

Supplemental Resources (optional)

Visuals to explore: Relationship between hyperbola and hyperbolic cosine and sine graphs in Geogebra

Introductory derivatives lesson: Derivatives of Hyperbolic Functions, Paul Dawkins' Online Notes

More advanced derivative examples: Derivatives of Hyperbolic Functions, Math 24

rev. 2021-01-23