e^(log(cosh^(-1)2))=...

`e^(log(cosh^(-1)2))=`

A

`log(2-sqrt(3))`

B

`log(sqrt(3)-2)`

C

`log(2+sqrt(3))`

D

`log(2+sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:

C

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AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE-I

If sinh^(-1)2+sinh^(-1)3=x rArr cos hx=
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2tanh^(-1)((1)/(2))=
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e^(log(cosh^(-1)2))=
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"Sech"^(-1) (sin theta)=
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If log(3+2sqrt(2))=cosh^(-1)(k) then k =
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If log(sqrt(5)+2)=sinh^(-1)(k) then k =
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If e^(sinh^(-1)(tan theta))=k then show that k=sec theta +tan theta
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"Sech"^(-1)((1)/(3))=
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If tanh^(2)(x)=tan^(2)theta then cosh(2x)=
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If theta in ((-pi)/(4), (pi)/(4)) and x=log(e )[cot((pi)/(4)+theta)] ...
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"Tanh"^(-1)((1)/(3))+"coth"^(-1)(3)=
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"Cosech"^(-1)((1)/(5))=
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Assertion (A) : "cosech"^(-1)(2)=log(e )((1+sqrt(5))/(2)) Reason (R ...
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e^(sinh^(-1)(cot theta))=
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If u=log(e )"Tan"((3pi)/(4)+(theta)/(2)) then coshu=
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"Cosh"3theta=99 if cosh theta=
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"Sinh"2x=70sqrt(2) if
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If cosh2x = 99, then tanhx =
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If cosh 2x = 199, then coth x =
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