Prove that (coshx+sinhx)^(n)=cosh(nx)+si...

Prove that `(coshx+sinhx)^(n)=cosh(nx)+sinh(nx)`

Text Solution

Verified by Experts

The correct Answer is:

R.H.S

Promotional Banner

Promotional Banner

Topper's Solved these Questions

HYPERBOLIC FUNCTIONS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 9(a)|10 Videos
FUNCTIONS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-1 (C)|34 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|32 Videos

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-HYPERBOLIC FUNCTIONS -EXERCISE - 9(a)

If sinhx = 3/4 then find cosh 2x and sinh 2x.
Text Solution
|
If sin hx = 3, then show that x = Log(e) (3+sqrt(10)).
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
|
(tanh(x))/(sech(x)-1)+(tanh(x))/(sech(x)+1)=
Text Solution
|
Prove that (coshx)/(1-tanhx)+(sinhx)/(1-cothx)=sinhx+coshx," for "xne0
Text Solution
|
Prove that cosh^(4)x-sinh^(4)x=cosh2x
Text Solution
|
If x = log [ tan (pi/4 + theta/2 ) ] then cosh x =
Text Solution
|