Difference between revisions of "Manuals/calci/SECH"
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|- class="even" | |- class="even" | ||
|'''SECH(z)''' | |'''SECH(z)''' | ||
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
Revision as of 02:03, 7 November 2013
SECH(z)
- where z is any real number
Description
- This function gives the hyperbolic Secant of 'z',
- It is also called as Circular function.
- SECH is the reciprocal of COSH function.
- SECH(z)=Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (cosh (z))^{-1}} i.e, or SEC(iz). where 'i' is the imaginary unit and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
- Also relation between Hyperbolic & Trigonometric function is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Sec(iz) = Sech(z)} & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Sech(iz) = Sec(z)}
- SECH(-z) = SECH(z)
or SEC(iz). where 'i' is the imaginary unit and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
Examples
SECH(z)
- z is any real number.
| SECH(z) | Value |
| SECH(0) | 1 |
| SECH(10) | 0.00009079985933781728 |
| SECH(7) | 0.001823762414 |