# sinh() Function & Examples

Use the sinh() trigonometry function in Calcul.io. Review its syntax, edit working examples, understand the result, and explore related math functions.

## sinh

#### sinh(x)

Try it yourself:

```calculio
sinh(0.5)
```

[cosh](https://calcul.io/function/cosh/index.md)

[tanh](https://calcul.io/function/tanh/index.md)

---

## sinh(): Hyperbolic Sine

**sinh()** calculates the hyperbolic sine, defined from exponentials rather than circular angles. It appears in catenary curves, differential equations, and hyperbolic geometry.

## Exponential relation

sinh(x) = (exp(x) − exp(−x))/2, connecting it to [exp()](https://calcul.io/function/exp/index.md). It accepts all real values and is odd: sinh(-x) equals -sinh(x). Reverse it with [asinh()](https://calcul.io/function/asinh/index.md).

Do not confuse sinh with [sin()](https://calcul.io/function/sin/index.md). For large magnitudes, exponential growth can overflow; use a scaled formulation or [log()](https://calcul.io/function/log/index.md)-space reasoning where appropriate.

[All functions](https://calcul.io/functions/index.md)