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JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Hard

1 of 1

Application +4 | -1

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

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}\,\,\left( {12 + 2\,\sqrt {50} } \right)

Option C (

\frac{1}{2}\,\,\left( {12 + 2\,\sqrt {50} } \right)

) is correct because it is derived by applying the hyperbolic trigonometric identities to simplify the given expression.

More Questions from HYPERBOLIC FUNCTIONS

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\cos (x+h y)

is cqual to: Let

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

. If normal drawn to

{H}

{P}(3,4)

intersects the curve again at

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

\frac{\alpha}{\beta}

is The imaginary part of

\log \sin (x+i y)

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

is equal to Which of the following functions is not defined at

x=0

? The real and imaginary part of

2 \sin (\alpha+i \beta) \cos (\alpha-i \beta)