Difference between revisions of "Relationship between sin and sinh"
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<strong>[[Relationship between sin and sinh|Theorem]]:</strong> The following formula holds: | <strong>[[Relationship between sin and sinh|Theorem]]:</strong> The following formula holds: | ||
| − | $$\sin( | + | $$\sin(z)=-i \sinh(iz),$$ |
where $\sin$ denotes the [[sine]] and $\sinh$ denotes the [[sinh|hyperbolic sine]]. | where $\sin$ denotes the [[sine]] and $\sinh$ denotes the [[sinh|hyperbolic sine]]. | ||
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Revision as of 05:33, 25 August 2015
Theorem: The following formula holds: $$\sin(z)=-i \sinh(iz),$$ where $\sin$ denotes the sine and $\sinh$ denotes the hyperbolic sine.
Proof: █
