The sinh( Command
SINH.GIF

Command Summary

Calculates the hyperbolic sine of a value.

Command Syntax

sinh(value)

Menu Location

The sinh( command is only found in the Catalog. Press:

  1. 2nd CATALOG to access the command catalog.
  2. S to skip to commands starting with S.
  3. Scroll down and select sinh(.

Calculator Compatibility

TI-83/84/+/SE

Token Size

1 byte

Calculates the hyperbolic sine of a value. The hyperbolic trig functions sinh(, cosh(, and tanh( are an analog of normal trig functions, but for a hyperbola, rather than a circle. They can be expressed in terms of real powers of e, and don't depend on the Degree or Radian mode setting.

sinh(0)
    0
sinh(1)
    1.175201194

Like normal trig commands, sinh( works on lists as well, but not on complex numbers, even though the function is often extended to the complex numbers in mathematics.

Formulas

The definition of hyperbolic sine is:

(1)
\begin{align} \sinh{x}=\frac{e^x-e^{-x}}{2} \end{align}

Related Commands

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