The sinh( Command

Command Summary

Calculates the hyperbolic sine of a value.

Command Syntax

sinh(value)

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

1. 2nd CATALOG to access the command catalog.
3. Scroll down and select sinh(.

TI-83/84/+/SE

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}

.