${\rm{sec}}{{\rm{h}}^{ - 1}}\,\,\left( {\sin \,\,\theta } \right)$ is equal to

$\log \,\,\tan \,\,\frac{\theta }{2}$

$\log \,\,\sin \,\,\frac{\theta }{2}$

$\log \,\,\cos \,\,\frac{\theta }{2}$

JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

\mathrm{sec}{\mathrm{h}^{ - 1}}\,\,\left( {\sin \,\,\theta } \right)

is equal to

View answer and explanation

Correct option: D

\log \,\,\cot \,\,\frac{\theta }{2}

Option D (

\log \,\cot \,\frac{\theta }{2}

) is correct because the inverse hyperbolic secant simplifies to this logarithmic form using hyperbolic identities.