convert/sectan converts all trigonometric functions appearing in the expression to sec and tan, and converts all hyperbolic functions to sech and tanh.

If the optional parameter x is specified, then only those functions that depend on the variables in x will be converted.

$\mathrm{convert}\left(\sin \left(x\right)\,\mathrm{sectan}\right)$

$\frac{\tan \left(x\right)}{\sec \left(x\right)}$

$\mathrm{convert}\left(\mathrm{csch}\left(x\right)\,\mathrm{sectan}\right)$

$\frac{\mathrm{sech}\left(x\right)}{\tanh \left(x\right)}$

$\mathrm{convert}\left(\cot \left(\cot \left(x\right)\mathrm{csch}\left(a\right)\right)\sin \left(b\right)\,\mathrm{sectan}\,\left\{b\,x\right\}\right)$

$\frac{\tan \left(b\right)}{\tan \left(\frac{\mathrm{csch}\left(a\right)}{\tan \left(x\right)}\right)\sec \left(b\right)}$