Hyperbolic trigonometric functions

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The hyperbolic trigonometric functions are analogs of the standard trigonometric functions using a hyperbola as the defining conic section rather than a circle. They are defined as:

  • Hyperbolic sine:
  • Hyperbolic cosine:
  • Hyperbolic tangent:
  • Hyperbolic cosecant:
  • Hyperbolic secant:
  • Hyperbolic cotangent:
Sinh-cosh.png Tanh-coth.png
sinh and cosh tanh and coth