If sinhx=(1)/(2) find cosh2x+sinh2x...

If `sinhx=(1)/(2)` find `cosh2x+sinh2x`

Text Solution

Verified by Experts

The correct Answer is:

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

Promotional Banner

Promotional Banner

Topper's Solved these Questions

HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise EXERCISE-8.1 (SHORT ANSWER QUESTIONS)|6 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 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-8.1 (VERY SHORT ANSWER QUESTIONS)

IF coshx=5//2, then find the value of (i) cosh(2x) and (ii) sinh(2x)
Text Solution
|
If cos hx=(3)/(2) find the values of (i) Sinh (2x) " "(ii) Cosh (...
Text Solution
|
If sinhx=(1)/(2) find cosh2x+sinh2x
Text Solution
|
Prove that sinh(x+y)=sinhxcoshy+coshxsinhy
Text Solution
|
Prove that sinh(3x)=3sinhx+4sinh^(3)x,AAx inR
Text Solution
|
P.T tanh3x=(3tanhx+tanh^(3)x)/(1+3tanh^(2)x),AAx inR
Text Solution
|
Prove that tanh(x-y)=(tanhx-tanhy)/(1-tanhxtanhy)
Text Solution
|
Prove that coth(x-y)=(cothx.cothy-1)/(cothy-cothx)
Text Solution
|
Prove that (coshx-sinhx)^(n)=cosh(nx)-sinh(nx)
Text Solution
|
Prove that (coshx+sinhx)^(n)=cosh(nx)+sinh(nx)
Text Solution
|
Prove that cosh^(4)x-sinh^(4)x=cosh2x
Text Solution
|
If sinh x=5, show that x=log(e ) (5+sqrt(26))
Text Solution
|
If sin hx = 3, then show that x = Log(e) (3+sqrt(10)).
Text Solution
|
If cosh x =3, show that x=log(e ) (3+sqrt(8))
Text Solution
|
S.T Tanh^(-1) 1/2 = 1/2 log(e)3.
Text Solution
|
Verify whether coshx is an even function or an odd function
Text Solution
|