Difference between revisions of "Relationship between sin and sinh"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\sin(x)=-i \sinh(ix),$$ whe...") |
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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: | ||
$$\sin(x)=-i \sinh(ix),$$ | $$\sin(x)=-i \sinh(ix),$$ | ||
| − | where $\sin$ denotes the [[ | + | where $\sin$ denotes the [[sine]] and $\sinh$ denotes the [[sinh|hyperbolic sine]]. |
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> | ||
Revision as of 05:26, 25 August 2015
Theorem: The following formula holds: $$\sin(x)=-i \sinh(ix),$$ where $\sin$ denotes the sine and $\sinh$ denotes the hyperbolic sine.
Proof: █
