Difference between revisions of "Manuals/calci/SINH"
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*It's also called as Circular function. | *It's also called as Circular function. | ||
*Here <math>SINH(z)=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> | *Here <math>SINH(z)=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> | ||
| − | *The relation between Hyperbolic & Trigonometric function is <math>Sin(iz)= | + | *The relation between Hyperbolic & Trigonometric function is <math>Sin(iz)=iSinh(z)</math> & <math>Sinh(iz)= iSin(z)</math> |
*SINH(-z) = -SINH(z) | *SINH(-z) = -SINH(z) | ||
Revision as of 00:18, 7 November 2013
SINH(z)
- where z is any real number
Description
- This function gives the Hyperbolic SIN 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 SINH(z)=\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 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 Sin(iz)=iSinh(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 Sinh(iz)= iSin(z)}
- SINH(-z) = -SINH(z)
Examples
SINH(z)
- z is any real number.
| SINH(z) | Value |
| SINH(0) | 0 |
| SINH(10) | 11013.23287 |
| SINH(-3) | -10.0178749274099 |