Difference between revisions of "Relationship between sinh and sin"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\sinh(z)=-i\sin(iz),$$ where $\sinh$ is the sinh|hyperbolic sin...") |
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| − | <strong>Theorem:</strong> The following formula holds: | + | <strong>[[Relationship between sinh and sin|Theorem]]:</strong> 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]]. | ||
Revision as of 05:28, 25 August 2015
Theorem: The following formula holds: $$\sinh(z)=-i\sin(iz),$$ where $\sinh$ is the hyperbolic sine and $\sin$ is the sine.
Proof: █
