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

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

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