Difference between revisions of "Manuals/calci/COSH"
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* Here <math>COSH=\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> | * Here <math>COSH=\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)=Cos(hz)</math> & <math>Cosh(iz)= Cos(z)</math> | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cos(hz)</math> & <math>Cosh(iz)= Cos(z)</math> | ||
| − | *COSH(-z)=COSH(z) | + | *COSH(-z) = COSH(z) |
== Examples == | == Examples == | ||
Revision as of 05:48, 5 November 2013
COSH(z)
- where z is any real number
Description
- This function gives the hyperbolic Cos of 'z'.
- Also it is called as Circular function.
- Here 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 -COS(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}}
- 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 Cos(iz)=Cos(hz)} & 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(iz)= Cos(z)}
- COSH(-z) = COSH(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 -COS(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}}
Examples
COSH(z)
- z is any real number.
| COSH(z) | Value(Radian) |
| COSH(0) | 1 |
| COSH(10) | 11013.232920103319 |
| COSH(7) | COSH(7)=548.3170352 |