Hyperbolic Sine Calculator (sinh)
sinh(x) = (eˣ − e⁻ˣ) / 2. Hyperbolic counterpart of sin.
Result
sinh(x)
1.17520119
(e^1 − e^-1) / 2 = (2.7183 − 0.3679) / 2.
- x1
- eˣ2.71828183
- e⁻ˣ0.36787944
- sinh(x)1.1752011936
- cosh(x)1.5430806348
- tanh(x)0.7615941560
Step-by-step
- eˣ = e^1 = 2.718282.
- e⁻ˣ = e^-1 = 0.367879.
- sinh(x) = (eˣ − e⁻ˣ) / 2 = 1.175201.
How to use this calculator
- Enter x.
- Read sinh(x) + e^x components.
About this calculator
Hyperbolic sine: sinh(x) = (eˣ − e⁻ˣ) / 2. Like its trig cousin, sinh is an odd function (sinh(−x) = −sinh(x)) and grows roughly exponentially. Key identity: cosh²(x) − sinh²(x) = 1. Used in physics (catenary curve = a cosh(x/a) describes a hanging chain), engineering (suspension cables), and special relativity.
Frequently asked
sin is bounded [−1, 1] and periodic. sinh is unbounded and grows like eˣ/2 for large x. Different curves entirely.
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