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Question

cosechx(cosech2x+1) equals


A

tanhx

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B

cothx

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C

sechx

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D

coshx

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Solution

The correct option is C

sechx


Explanation for the correct option:

Given, cosechx(cosech2x+1)

Use the identity coth2x–cosech2x=1,

=cosechx(coth2x)

=cosechxcothx

=1sinhxcoshxsinhx

=1coshx

=sechx

Hence, Option β€˜C’ is Correct.


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