The cosh( Command
COSH.GIF

Command Summary

Calculates the hyperbolic cosine of a value.

Command Syntax

cosh(value)

Menu Location

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

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

Calculator Compatibility

TI-83/84/+/SE

Token Size

1 byte

Calculates the hyperbolic cosine 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.

cosh(0)
    1
cosh(1)
    1.543080635

Like normal trig commands, cosh( 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 cosine is:

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

Related Commands

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