Difference between revisions of "Manuals/calci/SECH"
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| − | <div style="font-size:30px">'''SECH( | + | <div style="font-size:30px">'''SECH(x)'''</div><br/> |
| − | * where | + | * where x is any real number. |
| + | **SECH(), returns the inverse hyperbolic secant of a number. | ||
| + | |||
==Description== | ==Description== | ||
| − | * This function gives the hyperbolic Secant of ' | + | * This function gives the hyperbolic Secant of 'x', |
* It is also called as Circular function. | * It is also called as Circular function. | ||
* SECH is the reciprocal of COSH function. | * SECH is the reciprocal of COSH function. | ||
| − | * SECH( | + | * SECH(x)=<math>(cosh (x))^{-1}</math> i.e, <math>\frac{ 2} {e^x+e^{-x}} </math> or SEC(iz). where 'i' is the imaginary unit and <math>i=\sqrt{-1}</math> |
| − | * Also relation between Hyperbolic & Trigonometric function is <math>Sec( | + | * Also relation between Hyperbolic & Trigonometric function is <math>Sec(ix) = Sech(x)</math> & <math>Sech(ix) = Sec(x)</math> |
| − | *SECH(- | + | *SECH(-x) = SECH(x) |
== Examples == | == Examples == | ||
| − | '''SECH( | + | '''SECH(x)''' |
| − | *''' | + | *'''x''' is any real number. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | |'''SECH( | + | |'''SECH(x)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| Line 30: | Line 32: | ||
|- class="odd" | |- class="odd" | ||
| SECH(7) | | SECH(7) | ||
| − | | | + | | 0.001823762414 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic SEC}} | ||
==See Also== | ==See Also== | ||
| Line 43: | Line 49: | ||
*[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 14:39, 3 July 2018
SECH(x)
- where x is any real number.
- SECH(), returns the inverse hyperbolic secant of a number.
Description
- This function gives the hyperbolic Secant of 'x',
- It is also called as Circular function.
- SECH is the reciprocal of COSH function.
- SECH(x)= i.e, or SEC(iz). where 'i' is the imaginary unit and
- Also relation between Hyperbolic & Trigonometric function is &
- SECH(-x) = SECH(x)
i.e, 
or SEC(iz). where 'i' is the imaginary unit and 
& 
Examples
SECH(x)
- x is any real number.
| SECH(x) | Value |
| SECH(0) | 1 |
| SECH(10) | 0.00009079985933781728 |
| SECH(7) | 0.001823762414 |
Related Videos
See Also
References