Difference between revisions of "Manuals/calci/ACOSH"
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*This function gives the Inverse Hyperbolic Cosine of a number. | *This function gives the Inverse Hyperbolic Cosine of a number. | ||
*Here 'z' is any positive real number i.e, <math>z \ge 1</math>. | *Here 'z' is any positive real number i.e, <math>z \ge 1</math>. | ||
| − | *Inverse Hyperbolic sine of a number is defined by <math>Acosh(z)= | + | *Inverse Hyperbolic sine of a number is defined by <math>Acosh(z)=\log_e(z+\sqrt{z^2-1})</math> |
*Also ACOSH(COSH(z))=z | *Also ACOSH(COSH(z))=z | ||
*ACOSH(-2)=NAN , since z<1 | *ACOSH(-2)=NAN , since z<1 | ||
Revision as of 03:05, 7 November 2013
ACOSH(z)
- where z is any real number
Description
- This function gives the Inverse Hyperbolic Cosine of a number.
- Here 'z' is any positive real number i.e, .
- Inverse Hyperbolic sine of a number is defined by
- Also ACOSH(COSH(z))=z
- ACOSH(-2)=NAN , since z<1
.
Examples
ACOSH(z)
- z is any positive real number.
| ACOSH(z) | Value |
| ACOSH(1) | 0 |
| ACOSH(30) | 4.0940666863209 |
| ACOSH(90) | 5.192925985263806 |