View source for TI-BASIC:Cosh

{{Template:TI-BASIC:Command
|picture=COSH.GIF
|summary=Calculates the hyperbolic cosine of a value.
|syntax=cosh(''value'')
|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(.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

Calculates the hyperbolic cosine of a value. The hyperbolic trig functions [[TI-BASIC:Sinh|Sinh(]], cosh(, and [[TI-BASIC:Tanh|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 [[TI-BASIC:E_Value|e]], and don't depend on the [[TI-BASIC:Degree_Mode|Degree]] or [[TI-BASIC:Radian_Mode|Radian]] mode setting.

 cosh(0)
     1
 cosh(1)
     1.543080635

Like normal trig commands, cosh( works on [[TI-BASIC:Lists|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>

= Related Commands =

* [[TI-BASIC:Sinh|Sinh(]]
* [[TI-BASIC:Arsinh|sinh‾¹(]]
* [[TI-BASIC:Arcosh|cosh‾¹(]]
* [[TI-BASIC:Tanh|Tanh(]]
* [[TI-BASIC:Artanh|tanh‾¹(]][[Category:TI-BASIC]]
[[Category:TIBD]]