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Question

The value of (e2θ-1)(e2θ+1) is


A

cothθ

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B

coth2θ

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C

tanhθ

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D

tanh2θ

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Solution

The correct option is C

tanhθ


Explanation for the correct option:

Find the required value.

Given: (e2θ-1)(e2θ+1)

(e2θ-1)(e2θ+1)=(eθeθ1)(eθeθ+1)=eθeθ1eθeθeθ+1eθ=eθe-θeθ+e-θ=tanhθtanhx=exe-xex+e-x

Hence, option (C) is the correct answer.


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