If sinh^(-1)2+sinh^(-1)3=x rArr cos hx=...

If `sinh^(-1)2+sinh^(-1)3=x rArr cos hx=`

A

`(1)/(2) (3sqrt(5) +2sqrt(10))`

B

`(1)/(2) (3sqrt(5)-2sqrt(10))`

C

`(1)/(2)(12+2sqrt(50))`

D

`(1)/(2)(12-2sqrt(50))`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise EXERCISE - II|29 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

AAKASH SERIES-HYPERBOLIC FUNCTIONS -EXERCISE-I

If x=tanh^(-1)(y), then log(e )((1+y)/(1-y))=
Text Solution
|
If log(5+sqrt(26))=sinh^(-1)(k) then k =
Text Solution
|
If sinh^(-1)2+sinh^(-1)3=x rArr cos hx=
Text Solution
|
If x=log[y+sqrt(y^(2)-1)], then y =
Text Solution
|
2tanh^(-1)((1)/(2))=
Text Solution
|
e^(log(cosh^(-1)2))=
Text Solution
|
"Sech"^(-1) (sin theta)=
Text Solution
|
If log(3+2sqrt(2))=cosh^(-1)(k) then k =
Text Solution
|
If log(sqrt(5)+2)=sinh^(-1)(k) then k =
Text Solution
|
If e^(sinh^(-1)(tan theta))=k then show that k=sec theta +tan theta
Text Solution
|
"Sech"^(-1)((1)/(3))=
Text Solution
|
If tanh^(2)(x)=tan^(2)theta then cosh(2x)=
Text Solution
|
If theta in ((-pi)/(4), (pi)/(4)) and x=log(e )[cot((pi)/(4)+theta)] ...
Text Solution
|
"Tanh"^(-1)((1)/(3))+"coth"^(-1)(3)=
Text Solution
|
"Cosech"^(-1)((1)/(5))=
Text Solution
|
Assertion (A) : "cosech"^(-1)(2)=log(e )((1+sqrt(5))/(2)) Reason (R ...
Text Solution
|
e^(sinh^(-1)(cot theta))=
Text Solution
|
If u=log(e )"Tan"((3pi)/(4)+(theta)/(2)) then coshu=
Text Solution
|
"Cosh"3theta=99 if cosh theta=
Text Solution
|
"Sinh"2x=70sqrt(2) if
Text Solution
|