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IronCalc/docs/src/functions/math_and_trigonometry/sinh.md
2025-09-08 19:19:46 +02:00

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SINH function

Overview

SINH is a function of the Math and Trigonometry category that calculates the hyperbolic sine of a number.

Usage

Syntax

SINH(number) => sinh

Argument descriptions

  • number (number, required). The hyperbolic angle whose hyperbolic sine is to be calculated, expressed in radians.

Additional guidance

The formula for the hyperbolic sine is:


\text{sinh(x)} = \dfrac{e^x-e^{-x}}{2}

Returned value

SINH returns a real number that is the hyperbolic sine of the specified hyperbolic angle.

Error conditions

  • In common with many other IronCalc functions, SINH propagates errors that are found in its argument.
  • If no argument, or more than one argument, is supplied, then SINH returns the #ERROR! error.
  • If the value of the number argument is not (or cannot be converted to) a number, then SINH returns the #VALUE! error.
  • For some argument values, SINH may return a #DIV/0! error.

Details

  • The SINH function utilizes the sinh() method provided by the Rust Standard Library.
  • The figure below illustrates the SINH function.
Graph showing sinh(x).

Examples

See some examples in IronCalc.