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Question

2tanh-112=


A

cosh-113

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B

cosh-13

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C

cosh-13

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D

cosh-1(2+1)(21)

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Solution

The correct option is C

cosh-13


Explanation for the correct option:

As we know that,

2tanh-1(x)=cosh-1(1+x2)(1x2);-1<x<1

where,

Put x=12

2tanh-112=cosh-11+12112

=cosh-13

Hence, Option ‘C’ is Correct.


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