Difference between revisions of "Manuals/calci/CSCH"
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<div style="font-size:30px">'''CSCH(z)'''</div><br/> | <div style="font-size:30px">'''CSCH(z)'''</div><br/> | ||
| − | * | + | *Where z is any real number |
| + | *It is read as COSECH(z) | ||
==Description== | ==Description== | ||
Revision as of 00:26, 6 November 2013
CSCH(z)
- Where z is any real number
- It is read as COSECH(z)
Description
- This function gives the Hyperbolic Cosecant of 'z'.
- It's also called as Circular function.
- Here 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 CSCH= sinh(z)^{-1}} ie, 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 \frac{2}{e^z-e^{-z}}} or 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 -Icsc(iz)} , where 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} 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}}
- The 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 CSC(iz) = -ICSCh(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 Csch(iz)=-iCsc(z)}
- CSCH(-z)=-CSCH(z)
Examples
CSCH(z)
- z is any real number.
| CSCH(z) | Value(Radian) |
| CSCH(0) | Infinity |
| CSCH(7) | 0.00182376 |
| CSCH(-2) | 0.27572056 |