# TI-BASIC:Cosh

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Jump to navigationJump to search**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:

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

TI-83/84/+/SE

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: <math> \cosh{x}=\frac{e^x+e^{-x}}{2} </math>