Difference between revisions of "Manuals/calci/SINH"
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*This function gives the Hyperbolic SIN of 'z'. | *This function gives the Hyperbolic SIN of 'z'. | ||
*It's also called as Circular function. | *It's also called as Circular function. | ||
| − | *Here <math>SINH=\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)=iSin(hz)</math> & <math>Sinh(iz)= iSin(z)</math> | *The relation between Hyperbolic & Trigonometric function is <math>Sin(iz)=iSin(hz)</math> & <math>Sinh(iz)= iSin(z)</math> | ||
*SINH(-z) = -SINH(z) | *SINH(-z) = -SINH(z) | ||
| Line 17: | Line 17: | ||
|- class="even" | |- class="even" | ||
|'''SINH(z)''' | |'''SINH(z)''' | ||
| − | |'''Value | + | |'''Value ''' |
|- class="odd" | |- class="odd" | ||
Revision as of 01:05, 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 or , where is the imaginary unit and
- The relation between Hyperbolic & Trigonometric function is &
- SINH(-z) = -SINH(z)
or 
, where 
is the imaginary unit and 
& 
Examples
SINH(z)
- z is any real number.
| SINH(z) | Value |
| SINH(0) | 0 |
| SINH(10) | 11013.23287 |
| SINH(-3) | -10.0178749274099 |