Functions and Graphs - Hyperbolic Functions

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Quick Reference

  • This leaflet gives definitions of the hyperbolic functions in terms of exponential functions. Graphs of the hyperbolic sine, cosine and tangent are illustrated.
  • This leaflet lists common identities involving the hyperbolic functions.

Teach Yourself

  • The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function. In this unit we define the three main hyperbolic functions, and sketch their graphs. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions.

Test Yourself

Video

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  • The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function. In this unit we define the three main hyperbolic functions, and sketch their graphs. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions. (Mathtutor Video Tutorial)