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Hyperbolic Secant

Add \(\text{sech}\) and \(\text{sech}^{-1}\) as long-press on existing \(\cosh\) and \(\cosh^{-1}\) buttons. It should be pretty obvious from this snippet how to replicate for \(\text{csch}\) and \(\text{coth}\).

<root>
  ...
  <layout>
    ...
    <button label="cosh" action="MathCosh.Action" longPressAction="sech" pageFoldover="true"/>
    <button label="cosh" superscript="-1" action="MathACosh.Action" longPressAction="asech" pageFoldover="true"/>
    ...
  </layout>
  ...
  <values>
    ...
    <function ID="sech" label="sech" parameters="1" supportsMacros="true" supportsSolver="true">
      <MathCosh.Action/>
      <MathDivInvert.Action/>
    </function>

    <function ID="asech" label="sech" superscript="-1" parameters="1" supportsMacros="true" supportsSolver="true">
      <MathDivInvert.Action/>
      <MathACosh.Action/>
    </function>
    ...
  </values>
</root>