Hyperbolic Cosine Calculator

Calculate Hyperbolic Cosine

Our Hyperbolic Cosine Calculator instantly computes cosh(x) = (e^x + e^-x) / 2 for advanced math functions, engineering, and physics applications.

Enter a value (x) to calculate the Hyperbolic Cosine (cosh).

Value (x):

Units:

This section provides a complete breakdown of your calculation, including the formula, the exact value, a table of common values, and a visual chart.

The **Formula & Value** shows the calculation step-by-step.
The **Values Table** gives you an overview of how `cosh(x)` changes for different inputs.
The **Graphical Chart** visually demonstrates the behavior of the `cosh(x)` function, highlighting its exponential growth and symmetry.

x	cosh(x)

A line graph showing the exponential growth of cosh(x).

The Hyperbolic Cosine Calculator uses the exponential definition of cosh to quickly compute values for any real input.
In **advanced math functions**, cosh is widely used in:
- Engineering (stress-strain analysis, beam deflection).
- Signal Processing (Fourier transforms, wave equations).
- Physics (special relativity, hyperbolic geometry).

**Enter a number (x)** in the input field. The calculator handles real numbers.
**Choose units** (radians or degrees) for your input value.
**Click Calculate** to get the value of cosh(x) instantly.
**View the results** in a clear and well-structured format, including the formula, numerical value, a table, and a chart.

Q1: What is the hyperbolic cosine function?: A: Hyperbolic cosine (cosh) is defined as (e^x + e^-x)/2, a function used in advanced math functions, physics, and engineering.
Q2: Is cosh(x) the same as cosine?: A: No, cosh(x) is a hyperbolic function, while cosine is a trigonometric function. They have different formulas and applications.
Q3: Why is cosh(x) always positive?: A: Because it is the sum of exponentials divided by 2, cosh(x) never goes below 1 when x = 0 and increases as |x| grows.
Q4: Where is hyperbolic cosine used in engineering?: A: In structural engineering (catenary curves, suspension bridges), electrical engineering (AC circuits), and physics (wave equations).