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      <text>6.2.3.1 Related hyperbolic functions</text>
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      <text><![CDATA[<h3>Related Hyperbolic Functions</h3><p>Given the trigonometric functions <span class="math inline">\(\cos x,\sin x\)</span> related functions can be defined; <span class="math inline">\(\tan x, \sec x, \rm cosec\) \(x\)</span> through the relations: <span class="math inline">\(\tan x \equiv\dfrac{\sin x}{\cos x}\qquad \sec x\equiv\dfrac{1}{\cos x}\qquad{\rm cosec}\ x\equiv\dfrac{1}{\sin
x}\qquad\cot x\equiv\dfrac{\cos x}{\sin x}\).</span></p><p>In an analogous way, given <span class="math inline">\(\cosh x\)</span> and <span class="math inline">\(\sinh x\)</span> we can introduce hyperbolic functions.&nbsp;These functions are defined in the following Key Point.</p>
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<h4>Key Point: Further hyperbolic functions</h4>
<p style="text-align: center;">\(\tanh x \equiv \dfrac{\sinh x}{\cosh x}\)</p>
<p style="text-align: center;">\(\rm sech\) \(x \equiv \dfrac{1}{\cosh x}\)</p>
<p style="text-align: center;">\(\rm cosech\) \(x \equiv \dfrac{1}{\sinh x}\)</p>
<p style="text-align: center;">\(\coth x \equiv \dfrac{\cosh x}{\sinh x}\)</p>
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