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The '''hyperbolic trigonometric functions''' are analogs of the standard trigonometric functions using a hyperbola rather than a circle.  They are defined as:
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The '''hyperbolic trigonometric functions''' are analogs of the standard [[trigonometric function]]s using a [[hyperbola]] as the defining [[conic section]] rather than a [[circle]].  They are defined as:
    
*Hyperbolic sine: <math>sinh(x) = \frac{e^x - e^{-x}}{2}</math>
 
*Hyperbolic sine: <math>sinh(x) = \frac{e^x - e^{-x}}{2}</math>
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