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Hyperbolic Functions Calculator
Calculate sinh, cosh, tanh, csch, sech, and coth functions
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Hyperbolic Function
📐Hyperbolic Function Definitions
Hyperbolic Sine
sinh(x) = (e^x - e^(-x)) / 2
Odd function
Hyperbolic Cosine
cosh(x) = (e^x + e^(-x)) / 2
Even function
Hyperbolic Tangent
tanh(x) = sinh(x) / cosh(x)
Range: (-1, 1)
Hyperbolic Cosecant
csch(x) = 1 / sinh(x)
Undefined at x = 0
Hyperbolic Secant
sech(x) = 1 / cosh(x)
Range: (0, 1]
Hyperbolic Cotangent
coth(x) = cosh(x) / sinh(x)
Undefined at x = 0
💼Applications
Physics
• Special relativity
• Wave equations
• Catenary curves
Engineering
• Cable design
• Heat transfer
• Electric transmission
Mathematics
• Complex analysis
• Differential equations
• Geometry