Difference between revisions of "Manuals/calci/COSH"
Jump to navigation
Jump to search
| (10 intermediate revisions by 4 users not shown) | |||
| Line 1: | Line 1: | ||
| − | <div style="font-size:30px">'''COSH( | + | <div style="font-size:30px">'''COSH(Number)'''</div><br/> |
| − | * | + | * Number is any real number. |
| + | **COSH() returns the hyperbolic cosine of a number. | ||
| + | |||
==Description== | ==Description== | ||
*This function gives the hyperbolic Cos of 'z'. | *This function gives the hyperbolic Cos of 'z'. | ||
*Also it is called as Circular function. | *Also it is called as Circular function. | ||
| − | * Here <math>COSH=\frac{e^z | + | * Here <math>COSH(z)=\frac{e^z+e^{-z}}{2}</math> or <math>COS(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> |
| − | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)= | + | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cosh(z)</math> & <math>Cosh(iz)= Cos(z)</math> |
| − | *COSH(-z)=COSH(z) | + | *COSH(-z) = COSH(z) |
== Examples == | == Examples == | ||
| Line 16: | Line 18: | ||
|- class="even" | |- class="even" | ||
| − | |''' | + | |'''COSH(z)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| − | | | + | | COSH(0) |
| − | | | + | | 1 |
|- class="even" | |- class="even" | ||
| − | | | + | | COSH(10) |
| − | | 11013. | + | | 11013.232920103319 |
|- class="odd" | |- class="odd" | ||
| − | | | + | | COSH(7) |
| − | | | + | | 548.3170352 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|Wfpb-fniSSk|280|center|Hyperbolic COS}} | ||
==See Also== | ==See Also== | ||
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/COS| COS]] |
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/SINH| SINH]] |
*[[Manuals/calci/TANH | TANH]] | *[[Manuals/calci/TANH | TANH]] | ||
| Line 44: | Line 50: | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
*[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:26, 18 June 2018
COSH(Number)
- Number is any real number.
- COSH() returns the hyperbolic cosine of a number.
Description
- This function gives the hyperbolic Cos of 'z'.
- Also it is called as Circular function.
- Here or , where is the imaginary unit and
- Also relation between Hyperbolic & Trigonometric function is &
- COSH(-z) = COSH(z)
or 
, where 
is the imaginary unit and 
& 
Examples
COSH(z)
- z is any real number.
| COSH(z) | Value |
| COSH(0) | 1 |
| COSH(10) | 11013.232920103319 |
| COSH(7) | 548.3170352 |
Related Videos
See Also
References