(\sec h^{\text{-1}}\left( \frac{1}{2} \right)) is | MATH - BASIC HYPERBOLIC FUNCTION, DOMAIN & RANGE | SolveeIt

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

$\log(\sqrt{3} + \sqrt{2})$

$\log(\sqrt{3} + 1)$

$\log(2 + \sqrt{3})$

None of these

Answer

$\log(2 + \sqrt{3})$

Explanation

$\sec h^{- 1}\left( \frac{1}{2} \right) = \cosh^{- 1}(2)$ = $\log(2 + \sqrt{2^{2} - 2})$ = $\log(2 + \sqrt{3})$

Question: \(\sec h^{\text{-1}}\left( \frac{1}{2} \right)\) is...