Difference between revisions of "Manuals/calci/COSH"
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*Also it is called as Circular function. | *Also it is called as Circular function. | ||
* Here <math>COSH=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math> | * Here <math>COSH=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math> | ||
| − | *Also relation between Hyperbolic & Trigonometric function is <math> | + | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=iCos(hz)</math> & <math>Cosh(iz)= iCos(z)</math> |
*COSH(-z)=COSH(z) | *COSH(-z)=COSH(z) | ||
Revision as of 23:06, 4 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 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=\frac{e^z-e^{-z}}{2}} 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 -iSIN(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 imginary 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 Cosh(iz)= iCos(z)}
- COSH(-z)=COSH(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(iz)= iCos(z)}
Examples
COSH(z)
- z is any real number.
| SINH(z) | Value(Radian) |
| SINH(0) | 0 |
| SINH(10) | 11013.23287 |
| SINH(-3) | -10.0178749274099 |