Difference between revisions of "Relationship between cosine, Gudermannian, and sech"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$\cos(\mathrm{gd})(x)=\sech(x),$$ where $\cos$ denotes the cosin...")
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Revision as of 22:49, 25 August 2015

Theorem: The following formula holds: $$\cos(\mathrm{gd})(x)=\sech(x),$$ where $\cos$ denotes the cosine, $\mathrm{gd}$ denotes the Gudermannian, and $\sech$ denotes the hyperbolic secant.

Proof: