MATH CALCULATOR Hyperbolic Functions Calculator Effortlessly compute hyperbolic functions such as sinh, cosh, and tanh for various applications in mathematics and engineering.
📖
What is the Hyperbolic Functions Calculator & How does it work?
Hyperbolic functions are analogs of the trigonometric functions used in hyperbolas. They are defined in terms of exponential functions and have numerous applications in physics, engineering, and other fields.
sinh(x) = frac{e^x – e^{-x}}{2}
sinh = hyperbolic sine
Similarly, the hyperbolic cosine and tangent are defined as:
cosh(x) = frac{e^x + e^{-x}}{2}
cosh = hyperbolic cosine
And,
tanh(x) = frac{sinh(x)}{cosh(x)} = frac{e^x – e^{-x}}{e^x + e^{-x}}
tanh = hyperbolic tangent
⚙️
Parameters
Result
Frequently Asked Questions
What are hyperbolic functions?
Hyperbolic functions are analogs of trigonometric functions used in hyperbolas, defined in terms of exponential functions.
How do I calculate sinh(x)?
sinh(x) is calculated as (e^x – e^-x) / 2.
What is the formula for cosh(x)?
cosh(x) is calculated as (e^x + e^-x) / 2.
How do I find tanh(x)?
tanh(x) can be found using sinh(x) / cosh(x) or directly as (e^x – e^-x) / (e^x + e^-x).
What are some applications of hyperbolic functions?
Hyperbolic functions have applications in physics, engineering, and other fields where exponential growth or decay is modeled.
Can I use this calculator for complex numbers?
This calculator is designed for real numbers. For complex numbers, specialized software or calculators are recommended.
Is there a hyperbolic cotangent function available?
No, the Hyperbolic Functions Calculator does not include a hyperbolic cotangent function. You can calculate it as 1 / tanh(x).

Results are for informational purposes only and do not constitute professional advice.