${\rm{sec}}{{\rm{h}}^{ - 1}}\,\,\left( {\frac{1}{2}} \right)$ is

$\log \,\,\left( {\sqrt 3 + \sqrt 2 } \right)$

$\log \,\,\left( {\sqrt 3 + 1} \right)$

JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

\mathrm{sec}{\mathrm{h}^{ - 1}}\,\,\left( {\frac{1}{2}} \right)

View answer and explanation

Correct option: C

\log \,\,\left( {2 + \sqrt 3 } \right)

Option C (

\log \,\left( {2 + \sqrt 3 } \right)

) is correct because it is the result of applying the inverse hyperbolic function formula for sech^-1(x).