If ${\cosh ^{ - 1}}\,\,x = \log \,\,\left( {2 + \sqrt 3 } \right)$, then $x$ is equal to

JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

{\cosh ^{ - 1}}\,\,x = \log \,\,\left( {2 + \sqrt 3 } \right)

, then

x

is equal to

View answer and explanation

Correct option: A

Option A is correct because it uses the inverse hyperbolic cosine definition to find the value of x.

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\cos (x+h y)

{H}: {xy}-{y}-2 {x}-2=0

{H}

{P}(3,4)

Q(\alpha+1, \beta+1)

\frac{\alpha}{\beta}

\log \sin (x+i y)

{\sinh ^{ - 1}}\,\,2 + {\sinh ^{ - 1}}\,\,3 = x\; \Rightarrow \cosh \,\,x

\frac{{1 + \mathrm{tanh\;}\,\,\frac{x}{2}}}{{1 - \mathrm{tanh\;}\,\,\frac{x}{2}}}

x=0