Difference between revisions of "Relationship between sin and sinh"
From specialfunctionswiki
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\sin(z)=-i \sinh(iz),$$ | $$\sin(z)=-i \sinh(iz),$$ | ||
where $\sin$ denotes the [[sine]] and $\sinh$ denotes the [[sinh|hyperbolic sine]]. | where $\sin$ denotes the [[sine]] and $\sinh$ denotes the [[sinh|hyperbolic sine]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
Revision as of 00:39, 4 June 2016
Theorem
The following formula holds: $$\sin(z)=-i \sinh(iz),$$ where $\sin$ denotes the sine and $\sinh$ denotes the hyperbolic sine.
