Hyperbolic Function

The quantity whether x be real or complex number is called hyperbolic cos h of x and is written as



Similarly, the quantity is called sine hyperbolic of x and is written as



The hyperbolic tangent, cotangent, secant and cosecant are defined in terms of hyperbolic sine and cosine as in the case of circular functions. Thus



Expressions for sin h x and cos h x in series

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