Complex Computations, Hyperbolic Functions

Hyperbolic Sine: Sinh(x) = {Sinh(x.r) * Cos(x.i), Cosh(x.r) * Sin(x.i)}
See: Hyperbolic Sine -- From MathWorld
and Wolfram Function Evaluation

Hyperbolic Cosine: Cosh(x) = {Cosh(x.r) * Cos(x.i), Sinh(x.r) * Sin(x.i)}
See: Hyperbolic Cosine -- From MathWorld
and Wolfram Function Evaluation

Hyperbolic Tangent: Tanh(x) = {Sinh(2*x.r)/d, Sin(2*x.i)/d}
where d = Cosh(2*x.r) + Cos(2*x.i).
See: Hyperbolic Tangent -- From MathWorld
and Wolfram Function Evaluation

Hyperbolic Cotangent: Coth(x) = 1/Tanh(x),
but Coth(0) is undefined.
See: Hyperbolic Cotangent -- From MathWorld
and Wolfram Function Evaluation

Hyperbolic Secant: Sech(x) = 1/Cosh(X)
See: Hyperbolic Secant -- From MathWorld
and Wolfram Function Evaluation

Hyperbolic Cosecant: Csch(x) = 1/Sinh(X),
but Sech(0) is undefined.
See: Hyperbolic Cosecant -- From MathWorld
and Wolfram Function Evaluation

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