Difference between revisions of "Relationship between sinh and sin"
From specialfunctionswiki
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$\sinh(z)=-i\sin(iz),$$ | $$\sinh(z)=-i\sin(iz),$$ | ||
where $\sinh$ is the [[sinh|hyperbolic sine]] and $\sin$ is the [[sine]]. | where $\sinh$ is the [[sinh|hyperbolic sine]] and $\sin$ is the [[sine]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
Revision as of 00:40, 4 June 2016
Theorem
The following formula holds: $$\sinh(z)=-i\sin(iz),$$ where $\sinh$ is the hyperbolic sine and $\sin$ is the sine.
