<span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> (plural <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sines</span>) (mathematics) A <span class="searchmatch">hyperbolic</span> function that is the analogue of the <span class="searchmatch">sine</span> function for <span class="searchmatch">hyperbolic</span> spaces, taking in...
<span class="searchmatch">hyperbolic</span> <span class="searchmatch">sines</span> plural of <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span>...
function <span class="searchmatch">hyperbolic</span> tangent function inverse <span class="searchmatch">hyperbolic</span> function <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> <span class="searchmatch">hyperbolic</span> cosine <span class="searchmatch">hyperbolic</span> tangent <span class="searchmatch">hyperbolic</span> cotangent <span class="searchmatch">hyperbolic</span> secant...
arc-hyperbolic function arc-<span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> arc-<span class="searchmatch">hyperbolic</span> cosine arc-<span class="searchmatch">hyperbolic</span> tangent arc-<span class="searchmatch">hyperbolic</span> cotangent arc-<span class="searchmatch">hyperbolic</span> secant arc-<span class="searchmatch">hyperbolic</span> cosecant...
defined as the following: cosh ( x ) = 1 2 ( e x + e − x ) {\displaystyle \cosh(x)={\tfrac {1}{2}}(e^{x}+e^{-x})} . <span class="searchmatch">hyperbolic</span> function <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span>...
(plural not attested) (trigonometry) The area <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> function, i.e., the inverse <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> function. sinh arcosh artanh arshin, shairn,...
( x ) = 2 e x − e − x {\displaystyle \operatorname {csch} (x)={\frac {1}{\sinh(x)}}={\frac {2}{e^{x}-e^{-x}}}} . <span class="searchmatch">hyperbolic</span> function <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span>...
polynomial <span class="searchmatch">hyperbolic</span> quaternion <span class="searchmatch">hyperbolic</span> rotation <span class="searchmatch">hyperbolic</span> secant <span class="searchmatch">hyperbolic</span> secant distribution <span class="searchmatch">hyperbolic</span> sector <span class="searchmatch">hyperbolic</span> set <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> hyperbolic...
− x {\displaystyle \tanh(x)={\frac {\sinh(x)}{\cosh(x)}}={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}} . <span class="searchmatch">hyperbolic</span> function <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> <span class="searchmatch">hyperbolic</span> cosine...
− x {\displaystyle \coth(x)={\frac {\cosh(x)}{\sinh(x)}}={\frac {e^{x}+e^{-x}}{e^{x}-e^{-x}}}} . <span class="searchmatch">hyperbolic</span> function <span class="searchmatch">hyperbolic</span> <span class="searchmatch">sine</span> <span class="searchmatch">hyperbolic</span> cosine...