Difference between revisions of "Manuals/calci/SECH"
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− | <div | + | <div style="font-size:30px">'''SECH(x)'''</div><br/> |
+ | * 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)=<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(ix) = Sech(x)</math> & <math>Sech(ix) = Sec(x)</math> | ||
+ | *SECH(-x) = SECH(x) | ||
− | + | == Examples == | |
− | + | '''SECH(x)''' | |
− | + | *'''x''' is any real number. | |
− | + | {|id="TABLE1" class="SpreadSheet blue" | |
− | + | |- class="even" | |
− | + | |'''SECH(x)''' | |
− | + | |'''Value''' | |
− | + | |- class="odd" | |
+ | | SECH(0) | ||
+ | | 1 | ||
− | + | |- class="even" | |
− | - | + | | SECH(10) |
− | + | | 0.00009079985933781728 | |
− | SECH | + | |- class="odd" |
+ | | SECH(7) | ||
+ | | 0.001823762414 | ||
+ | |} | ||
− | + | ==Related Videos== | |
− | |||
− | |||
− | + | {{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic SEC}} | |
− | + | ==See Also== | |
− | + | *[[Manuals/calci/SEC | SEC]] | |
+ | *[[Manuals/calci/DSEC | DSEC]] | ||
+ | *[[Manuals/calci/COSH | COSH]] | ||
− | + | ==References== | |
− | + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | |
+ | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | ||
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− | + | *[[Z_API_Functions | List of Main Z Functions]] | |
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− | + | *[[ Z3 | Z3 home ]] | |
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Latest revision as of 15:39, 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)
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