The value of cosech- i-6 is

Explanation for correct option Given hyperbolic function is cosech(π i/6) We know that cosech(xi)= icosec(x)0ex0ex∴cosech(iπ/6)= icosec(π/6)= 2i [∵cosec(π/6 ...

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Standard XII

Mathematics

Substitution Method to Remove Indeterminate Form

The value of ...

Question

The value of $cosech (\frac{π i}{6})$ is

$- 2$

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$2$

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$- 2 i$

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$2 i$

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Solution

The correct option is C
$- 2 i$

Explanation for correct option
Given hyperbolic function is $cosech (\frac{π i}{6})$
We know that
$cosech (x i) = - i cosec (x) ∴ cosech (\frac{i π}{6}) = - i cosec (\frac{π}{6}) = - 2 i [∵ cosec (\frac{π}{6}) = 2]$
Hence the correct option is $Option (C)$

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The value of cosechπi6 is

The correct option is C -2iExplanation for correct option Given hyperbolic function is cosechπi6 We know that cosechxi=-icosecx∴cosechiπ6=-icosecπ6=-2i∵cosecπ6=2Hence the correct option is OptionC

The value of $cosech (\frac{π i}{6})$ is

The correct option is C
$- 2 i$

Explanation for correct option
Given hyperbolic function is $cosech (\frac{π i}{6})$
We know that
$cosech (x i) = - i cosec (x) ∴ cosech (\frac{i π}{6}) = - i cosec (\frac{π}{6}) = - 2 i [∵ cosec (\frac{π}{6}) = 2]$
Hence the correct option is $Option (C)$