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Sinh Calculator.

Evaluate sinh(x), cosh(x), and tanh(x).

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Set your values

Results update as you type.

Result: sinh: 1.17520119 · cosh: 1.54308063 · tanh: 0.76159416

Result

sinh: 1.17520119 · cosh: 1.54308063 · tanh: 0.76159416

Use Cases

Solve math and physics problems

Use the Sinh Calculator to quickly evaluate hyperbolic sine values for homework, research, or engineering problems involving hyperbolic functions.

Example: Calculate sinh(2) for a physics problem involving a hanging cable.

Check your work

Verify manual calculations or results from other tools by cross-checking with this calculator. It's fast and accurate for any real input.

Example: Confirm that sinh(1) ≈ 1.1752.

Frequently Asked Questions

What is the hyperbolic sine function?
The hyperbolic sine, denoted sinh(x), is a mathematical function defined as (e^x - e^(-x))/2. It is analogous to the trigonometric sine but uses hyperbolas instead of circles. It appears in many areas of mathematics and physics, such as in the shape of a hanging cable (catenary).
How do I use the Sinh Calculator?
Simply enter the value of x (a real number) into the input field labeled 'x' and click the calculate button. The calculator will compute sinh(x) and display the result instantly. You can use positive, negative, or zero values.
What is the range of the hyperbolic sine function?
The hyperbolic sine function is defined for all real numbers, and its output is also all real numbers. It is an odd function, meaning sinh(-x) = -sinh(x). For large positive x, sinh(x) grows exponentially, and for large negative x, it becomes very negative.

Tips & Common Mistakes

Tips

  • Remember that sinh(x) is an odd function: sinh(-x) = -sinh(x). You can use this to check your results.
  • For large values of x (e.g., |x| > 20), the result may be very large or very small; the calculator handles these, but be aware of potential overflow in manual calculations.
  • If you need the inverse, use the asinh function (also called arsinh) on a scientific calculator or online tool.
  • The hyperbolic sine is related to the exponential function: sinh(x) = (e^x - e^(-x))/2. You can use this to derive values if needed.

Common Mistakes to Avoid

  • Confusing sinh(x) with sin(x). They are different: sin(x) is trigonometric, while sinh(x) is hyperbolic.
  • Forgetting that the input x is in radians? Actually, hyperbolic functions do not use angles, so the input is just a real number, not in degrees or radians.
  • Entering non-numeric values or leaving the field empty, which will cause an error. Always enter a valid real number.

Last updated: August 13, 2026